8th grade Ch 5 L5

Write an equation you could use to find the length of the missing side of each right triangle. Then find the missing length. Round to the nearest tenth if necessary. 1. (Triangle with sides 16 m, 12 m, and c m)

• c = 20 m

• c = 18 m

• c = 25 m

• c = 28 m

Write an equation you could use to find the length of the missing side of each right triangle. Then find the missing length. Round to the nearest tenth if necessary. 2. (Triangle with sides 100 mm, 200 mm, and c mm)

• c = 223.6 mm

• c = 300.0 mm

• c = 141.4 mm

• c = 250.0 mm

Determine whether each triangle with sides of given lengths is a right triangle. Justify your answer. 3. 5 in., 10 in., 12 in.

Determine whether each triangle with sides of given lengths is a right triangle. Justify your answer.

• Right triangle. 9^2 + 40^2 = 81 + 1600 = 1681, 41^2 = 1681. 1681 = 1681.

What is the relationship among the legs and the hypotenuse of a right triangle?

• The sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse (Pythagorean Theorem).

• The sum of the lengths of the legs is equal to the length of the hypotenuse.

• The difference of the squares of the legs is equal to the square of the hypotenuse.

• The product of the lengths of the legs is equal to the length of the hypotenuse.

Write an equation you could use to find the length of the missing side of each right triangle. Then find the missing length. Round to the nearest tenth if necessary.

• c = 13 in.

• c = 10 in.

• c = 15 in.

• c = 8 in.

Write an equation you could use to find the length of the missing side of each right triangle. Then find the missing length. Round to the nearest tenth if necessary. 2. (Triangle diagram: sides 60 yd, 51 yd, a yd)

• a = 81 yd

• a = 111 yd

• a = 109 yd

• a = 75 yd

Write an equation you could use to find the length of the missing side of each right triangle. Then find the missing length. Round to the nearest tenth if necessary.

• b = 19.7 m

• b = 18.2 m

• b = 20.5 m

• b = 17.1 m

Determine whether each triangle with sides of given lengths is a right triangle. Justify your answer. 4. 28 yd, 195 yd, 197 yd

• Yes, it is a right triangle.

• No, it is not a right triangle because the sides do not satisfy the Pythagorean theorem.

• No, it is not a right triangle because the triangle inequality is not satisfied.

• No, it is not a right triangle because all sides are not equal.

Determine whether each triangle with sides of given lengths is a right triangle. Justify your answer. 5. 30 cm, 122 cm, 125 cm

• No, it is not a right triangle.