Pythagorean Theorem Application STAAR 8.7c

The diagram represents a side view of a roof in the shape of a right triangle. Which measurement is closest to the length of the roof in feet?

• 5.1 ft

• 16.1 ft

• 26.0 ft

• 19.7 ft

Wood pieces to build a frame of a kite are shown. What are the measures of the missing verticle length, v, and the missing side length, o, inches?

Move the answers to the correct box. Not all answers will be used.

The measure of the missing vertical length, v is​ (a)   and the measure of the missing side length p is​ (b)  

• 6
• 17
• 5
• 13
• 18
• 23
• 33
• 36

A right triangle has a leg with a length of 12 feet and a hypotenuse of 13.6 feet. What is the length of the other leg of the triangle in feet?

• 6.4 ft

• 25.6 ft

• 1.6 ft

• 3.2 ft

Select the sets that are right triangles.

Parallelogram PQRT is shown. Which statement proves that parallelogram PQRT is a rectangle?

• 8 + 15 = TQ

• 15 - 8 = TQ

The diagram shows a right triangle and the lengths of two of its sides in inches. Which measurement is closest to the value of d in inches?

• 6.3 in.

• 4.0 in.

• 14.3 in.

• 19.8 in.

Which measurements could represent the side lengths in feet of a right triangle?

• 10 ft, 24 ft, 26 ft

• 14 ft, 14 ft, 14 ft

• 3 ft, 3 ft, 18 ft

• 2 ft, 3 ft, 5 ft

The diagram represents a ramp in the shape of a right triangle and the lengths of two of its sides in feet. The length of the ramp in feet is:

Mathematical Equivalence

ON

Which measurement is closest to the shortest distance in miles from Natasha's house to the library?

• 2.6 mi

• 1.9 mi

• 1.4 mi

• 2.3 mi

The length of a rectangular fram is 15 inches. Width of the frame is 8 inches.

What is the length of a diagonal of this frame in inches?

• 17 inches.

• 12 inches.

• 15 inches.

• 20 inches.