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

Front

What type of triangle does the Pythagorean Theorem apply to?

Back

The Pythagorean Theorem ONLY works on right triangles.

Front

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

Back

Using the Pythagorean Theorem: 3² + 4² = c²; 9 + 16 = c²; 25 = c²; c = 5.

Front

What is the length of the missing side if one side is 8 and the hypotenuse is 10?

Back

Using the Pythagorean Theorem: 8² + b² = 10²; 64 + b² = 100; b² = 36; b = 6.

Front

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

Back

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

Front

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

Back

In a right triangle, the hypotenuse is always the longest side, and it is opposite the right angle.

Front

If the lengths of the two legs of a right triangle are both 5, what is the length of the hypotenuse?

Back

Using the Pythagorean Theorem: 5² + 5² = c²; 25 + 25 = c²; 50 = c²; c = √50 or approximately 7.07.

Front

What is the formula to calculate the area of a right triangle?

Back

The area of a right triangle can be calculated using the formula: Area = (1/2) * base * height.

Front

If a right triangle has a hypotenuse of 13 and one leg of 5, what is the length of the other leg?

Back

Using the Pythagorean Theorem: 5² + b² = 13²; 25 + b² = 169; b² = 144; b = 12.

Front

What is a right triangle?

Back

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