Special Right Triangles

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

D.

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

D.

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

D.

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

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.

C.

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?

C.

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

not c

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

A. C.

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

A:EF is the longest side of ?DEF.B:DF = 6 cmE:DE = cm