Pythagorean Theorem

Which names the hypotenuse of triangle ABC?

• $\angle CBA$
  

• $\overline{AB}$

• $\angle ABC$

• $\overline{AC}$

Which diagram demonstrates the Pythagorean theorem?

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Which group of three side lengths could form a right triangle?

• 2 in, 3 in, 4 in

• 6 in, 7 in, 8 in

• 15 in, 20 in, 25 in

• 12 in, 15 in, 18 in

Which group of three side lengths could form a right triangle?

• 4 ft, 5 ft, 6 ft

• 10 ft, 15 ft, 25 ft

• 12 ft, 35 ft, 37 ft

• 16 ft, 36 ft, 49 ft

For the rectangle shown, which equation can be used to find the value of x?

• 9 + 16 = x²

• 9² + 16² = x²

• 9² + x^2 = 16²

• (x + 9)² = 16²

A water slide is one side of a right triangle as shown. Which measurement is closest to x, the length of the slide?

• 23 ft

• 25 ft

• 28 ft

• 31 ft

A wire connects the top of the flagpole to the ground as shown. Which is closest to the height, h, of the flagpole?

• 36 m

• 28 m

• 25 m

• 22 m

A right triangle’s hypotenuse has length 5. If one leg has length 2, which number is closest to the length of the other leg?

• 2.0

• 2.5

• 4.6

• 5.4

Mr. Francis is designing a band formation for a halftime ceremony at a football game. The drawing shows where the band members will stand. How many yards apart are the band members standing at points A and C?

The TV below has a length of 36 inches and a diagonal measurement of 42 inches. What is the approximate height of the TV rounded to the nearest tenth of an inch (one decimal place)?