Illustration of the construction used to make a triangle when given a side and two angles.

Construction of a Triangle When Given a Side and Two Angles

Illustration of the construction used to make a triangle when given a side and two angles.

Illustration of the construction used to make a triangle when given two sides and the angle opposite one of them. This is for case 1 of the ambiguous case, when a is less than b.

Construction of a Triangle When Given Two Sides and the Angle Opposite (Ambiguous Case)

Illustration of the construction used to make a triangle when given two sides and the angle opposite…

Illustration of the construction used to make a triangle when given two sides and the angle opposite one of them. This is for case 2 of the ambiguous case, when a is equal to b.

Construction of a Triangle When Given Two Sides and the Angle Opposite (Ambiguous Case)

Illustration of the construction used to make a triangle when given two sides and the angle opposite…

Illustration of the construction used to make a triangle when given two sides and the angle opposite one of them. This is for case 2 of the ambiguous case, when a is equal to b.

Construction of a Triangle When Given Two Sides and the Angle Opposite (Ambiguous Case)

Illustration of the construction used to make a triangle when given two sides and the angle opposite…

Illustration of the construction used to make a triangle when given three sides.

Construction of a Triangle When Given Three Sides

Illustration of the construction used to make a triangle when given three sides.

Illustration of the construction used to circumscribe a circle about a given triangle.

Construction to Circumscribe a Circle About a Triangle

Illustration of the construction used to circumscribe a circle about a given triangle.

Illustration of the construction used to inscribe a circle in a given triangle.

Construction to Inscribe a Circle in a Triangle

Illustration of the construction used to inscribe a circle in a given triangle.

Illustration of the construction used to escribe circles with centres (centers) called ex-centres of the triangles. The intersections of the bisectors of the exterior angles of a triangle are the centers of three circles, each of which will touch one side of the triangle, and the two other circles.

Construction of Escribed Circles With Ex-centres

Illustration of the construction used to escribe circles with centres (centers) called ex-centres of…

Illustration used to construct a triangle , given the perimeter, one angle, and the altitude from the vertex of the given angle.

Construction of a Triangle Given Perimeter, Angle, Altitude

Illustration used to construct a triangle , given the perimeter, one angle, and the altitude from the…

Illustration showing a triangle with a line parallel to the base and two intersecting lines.

Triangle With Line Parallel to Base and Two Intersecting Lines

Illustration showing a triangle with a line parallel to the base and two intersecting lines.

Illustration showing a circle with an inscribed triangle and radii.

Circle With Inscribed Triangle and Radii

Illustration showing a circle with an inscribed triangle and radii.

Illustration showing a triangle with an altitude CD passing through the middle of EF. Triangles AEC and BFC are isosceles.

Triangle With Altitude and Isosceles Triangles Within

Illustration showing a triangle with an altitude CD passing through the middle of EF. Triangles AEC…

Illustration showing a circle with equilateral triangles and another circle within.

Circle With Triangles and Circle Within

Illustration showing a circle with equilateral triangles and another circle within.

Illustration to show that if a line is drawn through two sides of a triangle parallel to the third side, it divides those sides proportionally.

Triangle Divided by Parallel Lines to Form Proportionate Triangles

Illustration to show that if a line is drawn through two sides of a triangle parallel to the third side,…

Illustration to show that if a line divides two sides of a triangle proportionally, it is parallel to the third side.

Triangle Divided by Parallel Lines to Form Proportionate Triangles

Illustration to show that if a line divides two sides of a triangle proportionally, it is parallel to…

Illustration to show that an angle bisector of a triangle divides the opposite side into segments which are proportional to the adjacent sides.

Angle Bisector of Triangle Dividing Opposite Side Into Proportionate Segments

Illustration to show that an angle bisector of a triangle divides the opposite side into segments which…

One large triangle for pattern block set.

Large Triangle for Pattern Block Set

One large triangle for pattern block set.

Six large triangles for pattern block set.

Large Triangles for Pattern Block Set

Six large triangles for pattern block set.

Six large triangles for pattern block set.

Large Triangles for Pattern Block Set

Six large triangles for pattern block set.

Nine large triangles for pattern block set.

Large Triangles for Pattern Block Set

Nine large triangles for pattern block set.

Forty-two small triangles for pattern block set.

Small Triangles for Pattern Block Set

Forty-two small triangles for pattern block set.

Illustration to show that a bisector of a an exterior angle of a triangle divides the opposite side into segments which are proportional to the adjacent sides.

Exterior Angle Bisector of Triangle Dividing Opposite Side Into Proportionate Segments

Illustration to show that a bisector of a an exterior angle of a triangle divides the opposite side…

Illustration that shows two mutually equiangular triangles are similar.

Mutually Equiangular Similar Triangles

Illustration that shows two mutually equiangular triangles are similar.

Illustration that shows that two triangles which have their sides respectively parallel, or respectively perpendicular, are similar.

Similar Triangles With Respective Sides Parallel or Perpendicular

Illustration that shows that two triangles which have their sides respectively parallel, or respectively…

Illustration that shows two similar triangles with altitudes drawn.

Similar Triangles With Altitudes Drawn

Illustration that shows two similar triangles with altitudes drawn.

Right triangle inscribed in semicircle. Illustration shows that the perpendicular from any point in the circumference to the diameter of a circle is the mean proportional between the segments of the diameter.

Right Triangle Inscribed in Semicircle Shows Mean Proportional

Right triangle inscribed in semicircle. Illustration shows that the perpendicular from any point in…

Obtuse triangle with altitude drawn.

Obtuse Triangle

Obtuse triangle with altitude drawn.

Obtuse triangle with altitude and one median drawn.

Obtuse Triangle

Obtuse triangle with altitude and one median drawn.

Circle with two triangles.

Circle and Triangles

Circle with two triangles.

Circle with triangle to show how to divide a line in extreme and mean ratio.

Circle and Triangle

Circle with triangle to show how to divide a line in extreme and mean ratio.

Triangle with segments drawn.

Triangle With Segments

Triangle with segments drawn.

Circle with triangle inscribed.

Circle and Inscribed Triangle

Circle with triangle inscribed.

Circle with triangles.

Circle and Triangles

Circle with triangles.

Circle with triangle and chords.

Circle and Triangle

Circle with triangle and chords.

Circle with triangle and chords.

Circle and Triangle

Circle with triangle and chords.

Circle with triangle and chords.

Circle and Triangle

Circle with triangle and chords.

Triangle with sides a,b,c and height/altitude h.

Obtuse Triangle With Height Drawn

Triangle with sides a,b,c and height/altitude h.

Triangle with height/altitude h and median m.

Triangle With Height and Median

Triangle with height/altitude h and median m.

Illustration of triangle ABC with altitude a and base b to be used to demonstrate that the area is 1/2ba.

Area of a Triangle

Illustration of triangle ABC with altitude a and base b to be used to demonstrate that the area is 1/2ba.

A right triangle with degrees, 46, 44, 90

Right Triangle degrees, 46, 44, 90

A right triangle with degrees, 46, 44, 90

A right triangle with degrees, 47, 43, 90

Right Triangle degrees, 47, 43, 90

A right triangle with degrees, 47, 43, 90

A right triangle with degrees, 48, 42, 90

Right Triangle degrees, 48, 42, 90

A right triangle with degrees, 48, 42, 90

A right triangle with degrees, 49, 41, 90

Right Triangle degrees, 49, 41, 90

A right triangle with degrees, 49, 41, 90

A right triangle with degrees, 50, 40, 90

Right Triangle degrees, 50, 40, 90

A right triangle with degrees, 50, 40, 90

A right triangle with degrees, 51, 39, 90

Right Triangle degrees, 51, 39, 90

A right triangle with degrees, 51, 39, 90

A right triangle with degrees, 52, 38, 90

Right Triangle degrees, 52, 38, 90

A right triangle with degrees, 52, 38, 90

A right triangle with degrees, 53, 37, 90

Right Triangle degrees, 53, 37, 90

A right triangle with degrees, 53, 37, 90

A right triangle with degrees, 54, 36, 90

Right Triangle degrees, 54, 36, 90

A right triangle with degrees, 54, 36, 90

A right triangle with degrees, 55, 35, 90

Right Triangle degrees, 55, 35, 90

A right triangle with degrees, 55, 35, 90

A right triangle with degrees, 56, 34, 90

Right Triangle degrees, 56, 34, 90

A right triangle with degrees, 56, 34, 90

A right triangle with degrees, 57, 33, 90

Right Triangle degrees, 57, 33, 90

A right triangle with degrees, 57, 33, 90

A right triangle with degrees, 58, 32, 90

Right Triangle degrees, 58, 32, 90

A right triangle with degrees, 58, 32, 90

A right triangle with degrees, 59, 31, 90

Right Triangle degrees, 59, 31, 90

A right triangle with degrees, 59, 31, 90

A right triangle with degrees, 60, 30, 90

Right Triangle degrees, 60, 30, 90

A right triangle with degrees, 60, 30, 90

A right triangle with degrees, 61, 29, 90

Right Triangle degrees, 61, 29, 90

A right triangle with degrees, 61, 29, 90

A right triangle with degrees, 62, 28, 90

Right Triangle degrees, 62, 28, 90

A right triangle with degrees, 62, 28, 90

A right triangle with degrees, 63, 27, 90

Right Triangle degrees, 63, 27, 90

A right triangle with degrees, 63, 27, 90

A right triangle with degrees, 64, 26, 90

Right Triangle degrees, 64, 26, 90

A right triangle with degrees, 64, 26, 90

A right triangle with degrees, 65, 25, 90

Right Triangle degrees, 65, 25, 90

A right triangle with degrees, 65, 25, 90

A right triangle with degrees, 66, 24, 90

Right Triangle degrees, 66, 24, 90

A right triangle with degrees, 66, 24, 90