12.8 Pythagorean Review

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.

Tags

CCSS.8.G.B.8

Front

What is a right triangle?

Back

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

Tags

CCSS.4.G.A.2

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

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).

Tags

CCSS.8.G.B.8

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 (hypotenuse).

Tags

CCSS.8.G.B.8

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).

Tags

CCSS.8.G.B.8

Front

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

Back

To find the length of a missing side, use the Pythagorean Theorem: a² + b² = c², where c is the hypotenuse.

Tags

CCSS.8.G.B.7

Front

Can a triangle with sides 5, 12, and 13 be a right triangle?

Back

Yes, it can be a right triangle because 5² + 12² = 13² (25 + 144 = 169).

Tags

CCSS.8.G.B.8

Front

What is the shortest side of a right triangle?

Back

The shortest side of a right triangle is one of the two legs, not the hypotenuse.

Front

What happens if the Pythagorean Theorem does not hold true for a triangle?

Back

If the Pythagorean Theorem does not hold true (a² + b² ≠ c²), then the triangle is not a right triangle.

Tags

CCSS.8.G.B.8