Pythagorean Theorem - 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 can be expressed as: a² + b² = c².

Front

What is a right triangle?

Back

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

Front

What is the longest side of a right triangle called?

Back

The longest side of a right triangle is called the hypotenuse.

Front

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

Back

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

Front

If a triangle has sides of lengths 5, 12, and 13, does it form a right triangle?

Back

Yes, because 5² + 12² = 13² (25 + 144 = 169).

Front

If a triangle has sides of lengths 8, 15, and 17, does it form a right triangle?

Back

Yes, because 8² + 15² = 17² (64 + 225 = 289).

Front

If a triangle has sides of lengths 7, 24, and 25, does it form a right triangle?

Back

Yes, because 7² + 24² = 25² (49 + 576 = 625).

Front

If a triangle has sides of lengths 10, 10, and 15, does it form a right triangle?

Back

No, because 10² + 10² ≠ 15² (100 + 100 ≠ 225).

Front

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

Back

In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Front

What does it mean if a triangle does not satisfy the Pythagorean Theorem?

Back

If a triangle does not satisfy the Pythagorean Theorem, it means that it is not a right triangle.