Proving Right Triangles/Pythagorean Theorem

Front

What is a right triangle?

Back

A triangle where there is a 90 degree angle.

Front

Which choice represents the legs of a right triangle?

Back

a and b.

Front

What is the longest side of a right triangle called?

Back

Hypotenuse.

Front

The Pythagorean Theorem ONLY works on which type of triangle?

Back

Right triangle.

Front

What is the Pythagorean Theorem formula?

Back

a² + b² = c².

Front

If a triangle has sides of lengths 4, 5, and 6, is it a right triangle?

Back

No.

Front

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

Back

Legs.

Front

In a right triangle, if one leg is 3 and the other leg is 4, what is the length of the hypotenuse?

Back

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

Front

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

Back

Yes (5² + 12² = 13²).

Front

What is the relationship between the sides of a right triangle according to the Pythagorean Theorem?

Back

The square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.