#3 Pythagorean Theorem Word Problems

If a 25-foot ladder leans against a building and the foot of the ladder is 7 feet from the base of the building, how far up the building does the ladder reach?

• 576 ft

• 24 ft

• 4.2 ft

• 18 ft

A 40-foot pole has a wire from the top to a point 9 feet from the base. How long is the wire?

• 1519 ft

• 31 ft

• 1681 ft

• 41 ft

Find the height of an equilateral triangle whose side is 10 inches. Round to the nearest inch.

• 75 in

• 10 in

• 9 in

• 5 in

If you take a short cut (walk across diagonally) along a rectangular playground whose length is 40 yards and whose width is 30 yards, how many yards do you save?

• 20 yd

• 2500 yd

• 50 yd

• 70 yd

Find the area of a rectangle whose width is 15 inches and diagonal is 25 inches.

• 20 sq in

• 375 sq in

• 437 sq in

• 300 sq in

Find the length of the diagonal of a square whose side is 8 inches. Round to the nearest tenth.

• 11.3 in

• 64 in

• 128 in

• 32 in

A little league T-Ball baseball diamond has 50 feet between bases. Find the distance between 1^st and 3^rd base, to the nearest foot.

• 71 ft

• 5000 ft

• 50 ft

• 60 ft