Is it a RIGHT triangle?

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). It is expressed as a² + b² = c².

Front

Which triangle does the Pythagorean Theorem apply to?

Back

The Pythagorean Theorem only applies to right triangles.

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, typically referred to as sides a and b.

Front

What is the hypotenuse in a right triangle?

Back

The hypotenuse is the longest side of a right triangle, opposite the right angle, and is represented by side c.

Front

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

Back

Yes, because 3² + 4² = 5² (9 + 16 = 25).

Front

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

Back

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

Front

Can a triangle with sides 6, 8, and 10 be classified as a right triangle?

Back

Yes, because 6² + 8² = 10² (36 + 64 = 100).

Front

What is the formula to find the length of the hypotenuse?

Back

The length of the hypotenuse can be found using the formula c = √(a² + b²).

Front

What is an example of a set of numbers that does not form a right triangle?

Back

The numbers 2, 3, and 4 do not form a right triangle because 2² + 3² ≠ 4² (4 + 9 ≠ 16).

Front

What is the converse of the Pythagorean Theorem?

Back

If a² + b² = c², then the triangle with sides a, b, and c is a right triangle.