7-1 and 7-2 Practice

The longest side of a right triangle is: (Select all that apply.)

• the hypotenuse

• a leg

• across, or opposite, from the right angle

• connected to the right angle

In order to use the Pythagorean Theorem to finding a missing side length:

• the triangle must be a right triangle

• it can be any type of triangle

• the triangle must be an acute triangle

• the triangle must be an obtuse triangle

Triangle LMN has side lengths of 3 ft, 6 ft, and 4 ft. Use the Converse of the Pythagorean Theorem to determine whether or not the triangle is a right triangle.

• Yes

• No

Triangle LMN has side lengths of 20 ft, 12 ft, and 16 ft. Use the Converse of the Pythagorean Theorem to determine whether or not the triangle is a right triangle.

• Yes

• No

Find the unknown side length. If necessary, round to the nearest tenth.

x=

Find the unknown side length. If necessary, round to the nearest tenth.

x=

The lengths of the legs of a right triangle are 42 feet and 40 feet. What is the length of the hypotenuse? If necessary round to the nearest inch.

The lengths of the legs of a right triangle are 80 inches and 18 inches. What is the length of the hypotenuse? Round to the nearest inch if necessary.

Select all the sets of lengths that could represent the sides of a right triangle.

• 6 cm, 10 cm, 8 cm

• 5 in, 6.25 in, 3.75 in

• 55 cm, 44 cm, 33 cm

• 25 mm, 60 mm, 65 mm