Pythagorean Theorem and Right Triangles

Front

What is the Pythagorean Theorem?

Back

The Pythagorean Theorem states that in a right triangle, the square of the length of the hypotenuse (C) is equal to the sum of the squares of the lengths of the other two sides (A and B). It can be expressed as: C² = A² + B².

Tags

CCSS.8.G.B.8

Front

What type of triangle does the Pythagorean Theorem apply to?

Back

The Pythagorean Theorem ONLY works on right triangles.

Tags

CCSS.8.G.B.8

Front

If A = 8 and B = 5, what is C?

Back

C = √(8² + 5²) = √(64 + 25) = √89 ≈ 9.4.

Tags

CCSS.8.G.B.8

Front

Find the missing side if C = 20 and A = 10. What is B?

Back

B = √(C² - A²) = √(20² - 10²) = √(400 - 100) = √300.

Tags

CCSS.8.G.B.8

Front

What is the formula to find the length of the hypotenuse in a right triangle?

Back

C = √(A² + B²) where C is the hypotenuse and A and B are the other two sides.

Tags

CCSS.8.G.B.8

Front

If one side of a right triangle is 12 cm and the other is 16 cm, what is the length of the hypotenuse?

Back

C = √(12² + 16²) = √(144 + 256) = √400 = 20 cm.

Tags

CCSS.8.G.B.7

Front

What is the relationship between the sides of a right triangle?

Back

In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Tags

CCSS.8.G.B.8

Front

If C = 30 and A = 18, how do you find B?

Back

B = √(C² - A²) = √(30² - 18²) = √(900 - 324) = √576 = 24.

Tags

CCSS.8.G.B.7

Front

What is a right triangle?

Back

A right triangle is a triangle that has one angle measuring 90 degrees.

Tags

CCSS.4.G.A.2

Front

Can the Pythagorean Theorem be used for obtuse triangles?

Back

No, the Pythagorean Theorem only applies to right triangles.

Tags

CCSS.8.G.B.8