PYTHAGOREAN THEOREM I. P. REVIEW

Find the distance between the base of a ladder and the wall.

• 15.6 ft

• 32 ft

• 6.6 ft

• 2 ft

Graph each ordered pairs. Then determine the distance between the points using the Pythagorean Theorem. Round to the nearest tenth if necessary.

• 3.6 units

• 4.1 units

• 6.7 units

• 7.6 units

Graph the pair of ordered pairs. Then determine the distance between the points using the Pythagorean Theorem. Round to the nearest tenth if necessary.

• 5.8 units

• 2.3 units

• 5.1 units

• 9.3 units

Determine the distance between points A and B in each graph. Round to the nearest tenth if necessary.

• 5.9 units

• 6.1 units

• 6.5 units

• 7.2 units

Determine the length of the hypotenuse in the right triangle shown below. Round to the nearest tenth.

• 6.5 cm

• 6.4 cm

• 4.7 cm

• 2.5 cm

How far up on the playhouse is the baseball bat resting? Round to the nearest tenth if necessary.

• 34.5 in

• 33.5 in

• 28 in

• 5.3 in

Use the diagram below. Write and solve an equation to determine how far the balloon is from the observer. Write and solve an equation to find each missing length. Round to the nearest tenth if necessary.

• a. x² + 110² = 125²; 59.4 yd

• b. x² + 110² = 125²; 63.2 yd

• b. x² + 125² = 110²; 43.7 yd

• b. x² + 125² = 110²; 48.6 yd

Elaina's pool is in the shape of a rectangle. Its dimensions are 95 feet by 55 feet. Find the length in feet of the diagonal of the pool. Round your answer to the nearest tenth if necessary.

• 100 ft

• 150 ft

• 109.8 ft

• 40 ft

Determine whether each triangle with sides of given lengths is a right triangle. Justify your answer. 5 in., 17 in. and 12 in.

• yes; 5 + 12 = 17

• yes; 5² + 12² = 17²

• no; 5 + 12 = 17

• $no;\ 5^2+12^2\ne17^2$

The Bermuda Triangle has the dimensions of a triangle that are 565 miles, 935 miles and 1067 miles. Is the Bermuda Triangle a right triangle?

• yes

• no