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.



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



Consider triangle GHJ.



Line segment YV of rectangle YVWX measures 24 units.



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.

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

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



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



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



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.



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



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




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



Triangle MNO is an equilateral triangle with sides measuring units.

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