Unit 8 Lesson 2 Homework

What does the Pythagorean Theorem state about a right triangle?

• The sum of the squares of the legs equals the square of the hypotenuse.

• The sum of the angles equals 180 degrees.

• The area of the triangle is half the base times the height.

• The perimeter is the sum of all sides.

• It is an equilateral triangle.

• It is a right triangle.

• It is an isosceles triangle.

• It is a scalene triangle.

Determine whether the set (3, 4, 5) is a Pythagorean triple.

• Yes

• No

Fill in the blank: If a triangle is a right triangle, then the sum of the squares of the legs equals the ______ of the hypotenuse.

• square

• cube

• perimeter

• area

Fill in the blank: In a right triangle, the side opposite the right angle is called the ______.

• hypotenuse

• base

• height

• leg

Fill in the blank: The Pythagorean Theorem applies to triangles with a ______ angle.

• right

• acute

• obtuse

• straight

Fill in the blank: A triangle with sides 5, 12, and 13 is a ______ triangle.

• right

• equilateral

• isosceles

• Not enough information is given.

What is the length of the hypotenuse of a right triangle if the legs measure 12 feet and 8 feet?

• 14.4 feet

• 15 feet

• 16 feet

• 14 feet

Determine if the set of lengths 8, 15, 17 could be the side lengths of a right triangle.

• Yes

• No

Which of the following sets of numbers could NOT be the sides of a right triangle?

• 6, 8, 10

• 9, 12, 15

• 7, 24, 25

• 8, 15, 16