Special Right Triangles Answers

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

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.

Consider triangle GHJ.

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

Triangle P Q R is shown. Angle Q P R is a right angle. The length of Q P is 8 StartRoot 3 EndRoot and the length of P R is 8.

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

Line segment YV of rectangle YVWX measures 24 units.

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

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.

Consider the incomplete paragraph proof.Given: Isosceles right triangle XYZ (45°–45°–90° triangle)Prove: In a 45°–45°–90° triangle, the hypotenuse is times the length of each leg.