Front

What is a right triangle?

Back

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

Front

What are the legs of a right triangle?

Back

The legs of a right triangle are the two sides that form the right angle.

Front

What is the hypotenuse of a right triangle?

Back

The hypotenuse is the longest side of a right triangle, opposite the right angle.

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): a² + b² = c².

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

If a triangle has sides of lengths 7, 24, and 25, which side is the hypotenuse?

Back

The hypotenuse is 25.

Front

Can a triangle with sides 3, 6, and 9 be a right triangle?

Back

No, it cannot be a right triangle because 3² + 6² ≠ 9².

Front

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

Back

In a right triangle, the sum of the squares of the two legs equals the square of the hypotenuse.

Front

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

Back

The formula is c = √(a² + b²), where c is the hypotenuse and a and b are the legs.

Front

If the sides of a right triangle are 40 and 30, what is the length of the hypotenuse?

Back

The hypotenuse is 50, calculated as √(40² + 30²).