Pythagorean Theorem

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 the hypotenuse in a right triangle?

Back

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

Front

If one leg of a right triangle is 3 cm and the other leg is 4 cm, what is the length of the hypotenuse?

Back

5 cm (Using the Pythagorean Theorem: 3² + 4² = c², 9 + 16 = c², c² = 25, c = 5).

Tags

CCSS.8.G.B.7

Front

How do you find the length of a missing side in a right triangle?

Back

Use the Pythagorean Theorem: a² + b² = c². Rearrange the formula to solve for the missing side.

Tags

CCSS.8.G.B.8

Front

What are the conditions for a triangle to be a right triangle?

Back

A triangle is a right triangle if one of its angles measures 90 degrees.

Tags

CCSS.2.G.A.1

Front

Which set of numbers can represent the sides of a right triangle?

Back

The set 5, 12, 13 can represent the sides of a right triangle (5² + 12² = 13²).

Tags

CCSS.8.G.B.8

Front

What is the perimeter of a triangle?

Back

The perimeter of a triangle is the sum of the lengths of all its sides.

Tags

CCSS.3.MD.D.8

Front

If a right triangle has legs of 6 cm and 8 cm, what is its perimeter?

Back

The perimeter is 6 + 8 + 10 = 24 cm (10 cm is the hypotenuse).

Tags

CCSS.3.MD.D.8

Front

What is the relationship between the sides of a 30-60-90 triangle?

Back

In a 30-60-90 triangle, the lengths of the sides are in the ratio 1:√3:2.

Tags

CCSS.HSG.CO.C.10

Front

What is the relationship between the sides of a 45-45-90 triangle?

Back

In a 45-45-90 triangle, the lengths of the legs are equal, and the hypotenuse is √2 times the length of a leg.

Tags

CCSS.8.G.B.8