Unit 11 Test

Vocabulary: Select the three statements that are true about the hypotenuse.

• All triangles have a hypotenuse.

• The hypotenuse is the longest side of a right triangle.

• The hypotenuse is the shortest side of an obtuse triangle.

• If a triangle is right, then the square of its hypotenuse equals the sum of the squares of the other two sides.

• In a right triangle, the hypotenuse is the side opposite the 90° angle.

Triangle LMN has side lengths of 18.5 inches, 10 inches, and 15.5 inches. Is triangle LMN a right triangle? Complete the sentence below.

Triangle LMN ​ ​ (a)   a right triangle.

• is not
• is

What information must you know about a triangle in order to use the Pythagorean Theorem to find the length of a missing side?

In order to use the Pythagorean Theorem, you must know the length(s) of ​ (a)   of the triangle and know that one of the angles is ​ (b)   .

• any two sides
• any side
• all three sides
• exactly 90°
• less than 90°
• greater than 90°

Find the unknown side length. Round to the nearest tenth. Enter your answer in the box.

The lengths of the legs of a right triangle are 8 inches and 9 inches. What is the length of the hypotenuse? Round to the nearest inch. Enter your answer in the boxes below.

The three side lengths of four triangles are given. Which triangle is a right triangle?

• 
• 
• 
• 

The top of a ladder rests at a height of 15 feet against the side of a house. If the base of the ladder is 6 feet from the house, what is the length of the ladder? Round to the nearest foot.

• 9 ft

• 14 ft

• 16 ft

• 21 ft

Find the distance between P and Q. The distance between P and Q is about _ units. Type your answer in the box below. Round to the nearest tenth as needed.

Find the distance between P and Q. The distance between P and Q is _ units. Round to the nearest tenth as needed.

Find the distance between Point A and Point B. Enter your answer in the box.