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). It can be expressed as: 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 (9 + 16 = 25).

Front

If a triangle has sides of lengths 3, 6, and 9, is it a right triangle?

Back

No, it is not a right triangle because 3² + 6² ≠ 9² (9 + 36 ≠ 81).

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

Which of the following sets of lengths can form a right triangle: 7, 12, 18 or 6, 10, 8?

Back

6, 10, 8 can form a right triangle because 6² + 8² = 10² (36 + 64 = 100).

Front

What is true about 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

If a triangle has sides of lengths 6, 8, and 10, is it a right triangle?

Back

Yes, it is a right triangle because 6² + 8² = 10² (36 + 64 = 100).

Front

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

Back

The relationship is defined by the Pythagorean theorem: a² + b² = c².

Front

Can a triangle with sides 1, 1, and 2 be a right triangle?

Back

No, it cannot be a right triangle because 1² + 1² ≠ 2² (1 + 1 ≠ 4).