Finding the Hypotenuse

Front

What is the Pythagorean Theorem?

Back

Front

What type of triangle does the Pythagorean Theorem apply to?

Back

The Pythagorean Theorem ONLY works on right triangles.

Front

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

Back

Front

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

Back

Front

Find the hypotenuse if the two other sides are 5 and 12.

Back

Front

What is the value of the missing side if one side is 7 and the hypotenuse is 10?

Back

Using the Pythagorean Theorem: @@10^2 = 7^2 + b^2 ightarrow 100 = 49 + b^2 ightarrow b^2 = 51 ightarrow b = ext{sqrt}(51)@@.

Front

If the hypotenuse is 15 and one side is 9, what is the length of the other side?

Back

Using the Pythagorean Theorem: @@15^2 = 9^2 + b^2 ightarrow 225 = 81 + b^2 ightarrow b^2 = 144 ightarrow b = 12@@.

Front

What is a right triangle?

Back

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

Front

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

Back

In a right triangle, the hypotenuse is always the longest side, opposite the right angle.

Front

If a triangle has sides of lengths 3, 4, and 5, is it a right triangle?

Back