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

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

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.

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 dimensions of a rectangular piece of paper are 8.5 inches and 11 inches. Veronica folded the piece of paper along its diagonal. Which measurement is closest to the length of the diagonal in inches?

• 6.24 in.

• 19.5 in.

• 6.98 in.

• 13.9 in.

Based on the diagram, what is the distance in feet from the top of the pole to the bottom of the stake? Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value.

• 30

• 32

• 32.5

• 33

Which measurement is closest to the length of the ramp in feet?

• 8.5 ft

• 10.5 ft

• 9.5 ft

• 13.5 ft