Pythagorean theorem - Finding Missing Sides

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 one side of a right triangle is 6 in. and the other side is 8 in., what is the length of the hypotenuse?

Back

Using the Pythagorean Theorem: c² = 6² + 8²; c² = 36 + 64; c² = 100; c = 10 in.

Tags

CCSS.8.G.B.7

Front

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

Back

The formula is: c² = a² + b², where c is the hypotenuse and a and b are the other two sides.

Tags

CCSS.8.G.B.8

Front

Find the length of the missing side if one side is 12 in. and the hypotenuse is 13 in.

Back

Using the Pythagorean Theorem: 13² = 12² + b²; 169 = 144 + b²; b² = 25; b = 5 in.

Tags

CCSS.8.G.B.7

Front

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

Back

In a right triangle, the length of the hypotenuse is always greater than either of the other two sides.

Tags

CCSS.2.G.A.1

Front

If a right triangle has sides of length 9 in. and 12 in., what is the length of the hypotenuse?

Back

Using the Pythagorean Theorem: c² = 9² + 12²; c² = 81 + 144; c² = 225; c = 15 in.

Tags

CCSS.8.G.B.7

Front

What is the value of the missing side if the hypotenuse is 10 in. and one side is 6 in.?

Back

Using the Pythagorean Theorem: 10² = 6² + b²; 100 = 36 + b²; b² = 64; b = 8 in.

Tags

CCSS.8.G.B.7

Front

How do you determine if a triangle is a right triangle using the Pythagorean Theorem?

Back

To determine if a triangle is a right triangle, check if a² + b² = c² holds true for the lengths of the sides.

Tags

CCSS.8.G.B.8

Front

What is the length of the missing side if the hypotenuse is 50 in. and one side is 30 in.?

Back

Using the Pythagorean Theorem: 50² = 30² + b²; 2500 = 900 + b²; b² = 1600; b = 40 in.

Tags

CCSS.8.G.B.7