Is it a Right Triangle?

Front

What is a right triangle?

Back

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

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). Formula: a² + b² = c².

Front

What is the hypotenuse in a right triangle?

Back

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

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

How can you determine if three lengths can form a right triangle?

Back

Use the Pythagorean Theorem: check if a² + b² = c², where c is the longest side.

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 shorter sides equals the square of the longest side.

Front

What are the side lengths of a right triangle known as?

Back

The side lengths are known as the legs (a and b) and the hypotenuse (c).

Front

If the side lengths of a triangle are 6, 8, and 10, is it a right triangle?

Back

Yes, because 6² + 8² = 10².

Front

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

Back

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

Front

What is the shortest side in a right triangle?

Back

The shortest side is one of the legs (a or b), not the hypotenuse.