Proving Right Triangles/Pythagorean Theorem

Front

What is the opposite of squaring a number?

Back

Square root

Front

What is a right triangle?

Back

A triangle where there is a 90 degree angle.

Front

Would a triangle with these side lengths be a right triangle? 4, 5, 6

Back

No

Front

Does the set of numbers represent a right triangle? 20, 25, 15

Back

Yes

Front

Side c on a right triangle is ALWAYS the longest.

Back

True

Front

What is the Pythagorean Theorem?

Back

a² + b² = c², where c is the hypotenuse.

Front

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

Back

5 (using the Pythagorean Theorem: 3² + 4² = 5²).

Front

What are the three sides of a right triangle called?

Back

Opposite, adjacent, and hypotenuse.

Front

In a right triangle, what is the hypotenuse?

Back

The side opposite the right angle and the longest side.

Front

Can a triangle with sides 5, 12, and 13 be a right triangle?

Back

Yes (5² + 12² = 13²).