Pythagorean Theorem Practice

What is the missing side length of this triangle?

• 14

• 2

• 100

• 10

Which of the following lengths would be the hypotenuse?

25 inches, 15 inches, 20 inches

• 25 inches

• 15 inches

• 20 inches

Which of the following are NOT the dimensions of a right triangle?

• 3 cm, 4 cm, 5 cm

• 5 cm, 12 cm, 13 cm

• 4 cm, 8 cm, 12 cm

• 9 cm, 12 cm, 15 cm

What is the missing side length (x) in this right triangle?

• $\sqrt{290}$ cm

• $\sqrt{24}$ cm

• 48 cm

• $\sqrt{48}$ cm

Lisa wants to draw a right triangle with legs lengths of 20 m and 15 cm. What must the length of the hypotenuse be in order for Lisa to draw a right triangle?

• 20 cm

• 25 cm

• 28 cm

• 400 cm

What is the length of YX?

*hint - connect the points using a right triangle

• 100 cm

• 14 cm

• $\sqrt{28}$ cm

• 10 cm

Find the value of x.

• 901 cm

• $\sqrt{17}$ cm

• $\sqrt{901}$ cm

• $\sqrt{1549}$ cm

A telephone pole is supported by a wire that needs to be replaced. The wire is anchored to the ground which is 18 feet away from the bottom of the pole. The pole is 15 feet tall. How much wire is required to replace the old wire? (round to the nearest home number)

*hint: draw a picture

• 549 feet

• 24 feet

• 23 feet

• 20 feet

Brandon rides his bike 7 miles south and then 24 miles west. About how far is he from his starting point? (round to the nearest whole number)

*hint: draw a picture

• 17 miles

• 31 miles

• 25 miles

• 625 miles

Sarah leans a 20 foot ladder against the side of her house so that the base of the ladder is 14 feet from the house. How far up the side of the house does the ladder reach? (round to the nearest whole number)

*hint: draw a picture

• 14 feet

• 20 feet

• 15 feet

• 18 feet