Topic 6: Understand Relationships Involving Triangles

Find the length of the hypotenuse.

• 17 cm

• 7 cm

• 13 cm

• 9 cm

Find the unknown side length. Round to the nearest tenth.

• About 16 in.

• About 5.7 in.

• About 2 in.

• About 8.7 in.

Is the triangle a right triangle? Explain.

• Yes, 12²+35²=37²

• No, 12²+35²≠37²

• Yes, 35²+37²=12²

• No, 12²+37²=35²

A triangle has side lengths 1.5 inches, 2 inches, and 3 inches. Is the triangle a right triangle? Explain.

• No, 1.5²+2²≠3²

• Yes, 3²+2²=1.5²

• Yes, 1.5²+2²=3²

• No, 2²+3²≠1.5²

A triangle has side lengths 9 feet, 40 feet, and 41 feet. Is the triangle a right triangle? Explain.

• Yes, 9²+40²=41²

• Yes, 41²+9²= 40²

• No, 9²+40²≠41²

• No, 9²+41²≠40²

A picnic table is in the shape of a rectangle that is 12 feet long and 4 feet wide. What is the length of a diagonal of the table? Round to the nearest tenth.

• About 16 ft

• About 12.6 ft

• About 8 ft

• About 13.2 ft

A packaging box for a metal rod is 7 inches along a diagonal of the base. The height of the box is 9 inches. What is the approximate length of a diagonal of the box?

• 11.4 in

• 13.4 in

• 14.3 in

• 12.9 in

Points C and D represent the location of two parks on a map. Find the distance between the parks if the length of each unit on the grid is equal to 25 miles. Round to the nearest mile.

• About 168 miles

• About 167 miles

• About 169 miles

• About 166 miles

Find the perimeter of △ABC. Round to the nearest tenth.

• About 22.2 units

• About 13 units

• About 18.4 units

• About 22.3 units

Triangle JKL is an equilateral triangle with two of its vertices at points J and K. What are the coordinates of point L? Round to the nearest tenth as needed.

• (6, 8)

• (6, 7.2)

• (3, 4)

• (6, 6)