Proving Right Triangles/Pythagorean Theorem

Front

What are the sides of a right triangle called?

Back

The sides a and b are called legs.

Front

What is the Pythagorean Theorem?

Back

In a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the other two sides (a and b): c² = a² + b².

Front

Which sides are referred to as the legs in a right triangle?

Back

The legs are the sides a and b.

Front

If a = 2.1, b = 7.2, c = 7.5, is this a right triangle?

Back

Yes, it is a right triangle.

Front

Do the segment lengths 15, 12, and 9 form a right triangle?

Back

Yes, they form a right triangle.

Front

What is the hypotenuse in a right triangle?

Back

The hypotenuse is the longest side opposite the right angle.

Front

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

Back

c = √(a² + b²) where c is the hypotenuse.

Front

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

Back

The sum of the squares of the legs equals the square of the hypotenuse.

Front

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

Back

Yes, it is a right triangle because 3² + 4² = 5².

Front

What is the Triangle Inequality Theorem?

Back

The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.