Pythagorean Theorem Basics 8th

What type of triangle is involved in the Pythagorean theorem?

• Equilateral triangle

• Isosceles triangle

• Scalene triangle

• Right triangle

What is the longest side of a right triangle called?

• adjacent

• hypotenuse

• angle

• opposite

What are the two shorter sides of a right triangle called?

• arms

• corners

• sides

• legs

What is the formula for the Pythagorean theorem?

• a^2 + b^2 = c^2

• 2ab = c^2

• a + b = c

• a^2 - b^2 = c^2

How do you solve for a missing side length in a right triangle using the Pythagorean theorem?

• Apply the Pythagorean theorem formula: a^2 + b^2 = c^2, where 'a' and 'b' are the known side lengths and 'c' is the hypotenuse. Solve for the missing side length by taking the square root of the result.

• Subtract the two known side lengths

• Multiply the two known side lengths

• Divide the two known side lengths

What is the Pythagorean Converse?

• A triangle is only a right triangle if the sum of the squares of the sides is less than the square of the longest side.

• The Pythagorean Converse states that all triangles are right triangles.

• If the sum of the squares of the sides of a triangle is not equal to the square of the longest side, then the triangle is a right triangle.

• If the square of the longest side of a triangle is equal to the sum of the squares of the other two sides, then the triangle is a right triangle.

What are Pythagorean Triples?

• Pythagorean Triples are sets of three even integers a, b, and c, such that a^2 + b^2 = c^2.

• Pythagorean Triples are sets of three decimal numbers a, b, and c, such that a^2 + b^2 = c^2.

• Pythagorean Triples are sets of three positive integers a, b, and c, such that a^2 + b^2 = c^2.

• Pythagorean Triples are sets of three negative integers a, b, and c, such that a^2 + b^2 = c^2.

If the legs of a right triangle are 3 and 4, what is the length of the hypotenuse?

• 7

• 6

• 5

• 8

In a right triangle with sides of 5, 12, and x, what is the value of x?

• 8.2

• 7.5

• 15.3

• 10.91

Which of the following is a Pythagorean Triple?

• 2, 3, 4

• 8, 15, 17

• 5, 5, 5

• 7, 10, 12