Special Right Triangles

The length of segment XY is 9 cm. Which statements regarding triangle XYZ are correct? Select two options

YZ = 9 cm XZ =9 root of 2 cm

Each leg of a 45°-45°-90° triangle measures 12 cm. What is the length of the hypotenuse?

12 root of 2 cm

The length of segment EF is 12 cm. Which statements regarding triangle DEF are correct? Select three options.

EF is the longest side of △DEF. DF = 6 cm DE = 6 root of 3 cm

Consider triangle QRS. The legs each have a length of 10 units. What is the length of the hypotenuse of the triangle?

10 root of 2 units

A wall in Maria's bedroom is in the shape of a trapezoid. The wall can be divided into a rectangle and a triangle. Using the 45°-45°-90° triangle theorem, find the value of h, the height of the wall.

13 ft

Consider triangle PQR. What is the length of side QR?

16 units

Triangle MNO is an equilateral triangle with sides measuring units. What is the height of the triangle?

24 units

Consider triangle GHJ. What is the length of line segment HJ?

5 root of 3 units

The hypotenuse of a 45°-45°-90° triangle measures 128 cm. What is the length of one leg of the triangle?

64 root of 2 cm

Line segment YV of rectangle YVWX measures 24 units. What is the length of line segment YX?

8 root of 3 units

The hypotenuse of a 45°-45°-90° triangle measures 18 cm. What is the length of one leg of the triangle?

9 root of 2 cm

Which triangle is a 30°-60°-90° triangle?

A.

The length of segment XY is 9 cm. Which statements regarding triangle XYZ are correct? Select two options

YZ = 9 cm

Jules owns a square plot of land that measures 30 yards on each side. He plans to divide the land in half by building a fence, as shown by the dotted line below. How many yards of fencing will Jules need?

30 root of 2 yd

The height of trapezoid VWXZ is 8 root of 3 units. The upper base,VW, measures 10 units. Use the 30°-60°-90° triangle theorem to find the length of YX. Once you you know the length of YX, find the length of the lower base, ZX.

18 units