Special Right Triangles

Question 1

The hypotenuse of a 45°-45°-90° triangle measures 18 cm.

Revolt · Accepted Answer

cm

Question 2

A wall in Maria’s bedroom is in the shape of a trapezoid. The wall can be divided into a rectangle and a triangle.

Revolt · Accepted Answer

13 ft

Question 3

Each leg of a 45°-45°-90° triangle measures 12 cm.

Revolt · Accepted Answer

cm

Question 4

The hypotenuse of a 45°-45°-90° triangle measures 128 cm.

Revolt · Accepted Answer

cm

Question 5

Consider triangle GHJ.

Revolt · Accepted Answer

units

Question 6

Consider triangle DEF. The legs have a length of 36 units each.

Revolt · Accepted Answer

units

Question 7

The height of trapezoid VWXZ is units. The upper base,VW, measures 10 units. Use the 30°-60°-90° triangle theorem to find the length of YX.

Revolt · Accepted Answer

18 units

Question 8

Consider triangle QRS. The legs each have a length of 10 units.

Revolt · Accepted Answer

units

Question 9

A person is standing exactly 36 ft from a telephone pole. There is a 30° angle of elevation from the ground to the top of the pole.

Revolt · Accepted Answer

ft

Question 10

Square A B C D is shown. Each side is 30 yards long. A diagonal is drawn from point D to point B to form 2 triangles.

Revolt · Accepted Answer

yd

Special Right Triangles Answers