Pythagorean Theorem and Pythagorean Inequalities

Find the length of the hypotenuse of the right triangle with the given leg lengths. Express the answer as a simplified radical.

Legs: 11 ft and 60 ft

• 61 ft

• 71 ft

• 59 ft

• 49 ft

Find the length of the hypotenuse of the right triangle with the given leg lengths. Express the answer as a simplified radical.

Legs: 7 mm and 8 mm

• 15 mm

• 11 mm

• 113 mm

Find the length of the hypotenuse of the right triangle with the given leg lengths. Express the answer as a simplified radical.

Legs: 40 cm and 41 cm

• 81 cm

• 3281 cm

• 57 cm

Find the length of the hypotenuse of the right triangle with the given leg lengths. Express the answer as a simplified radical.

Legs: 20 in and 99 in

• 101 in

• 109 in

• 79 in

• 102 in

Find the length of the hypotenuse of the right triangle with the given leg lengths. Express the answer as a simplified radical.

Legs: 16 ft and 23 ft

• 785 ft

• 41 ft

• 28 ft

Find the length of the hypotenuse of the right triangle with the given leg lengths. Express the answer as a simplified radical.

Legs: 20 in and 99 in

• 101 in

• 109 in

• 79 in

• 102 in

• 5096 sq units

• 4056 sq units

• 3744 sq units

• 48 sq units

If a flat-screen television is a rectangle with a 53-in diagonal and a width of 45 inches, what is the height of the screen?

A standard baseball diamond is a square 90 feet on each side. Find the distance of a throw made from the catcher 3 feet behind home plate in an attempt to throw out a runner trying to steal second base. Round to the nearest whole number.

• 93 ft

• 124 ft

• 130 ft

• 183 ft

Tell whether the triangle is a right triangle

• Yes

• No