Pythagorean Theorem PRACTICE

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

How can you determine if three sides can form a right triangle?

Back

To determine if three sides can form a right triangle, check if the square of the longest side is equal to the sum of the squares of the other two sides.

Front

If the sides are 12 in, 10 in, and 8 in, do they form a right triangle?

Back

No, because 12² ≠ 10² + 8² (144 ≠ 100 + 64).

Front

If the sides are 9 ft, 20 ft, and 14 ft, do they form a right triangle?

Back

No, because 20² ≠ 9² + 14² (400 ≠ 81 + 196).

Front

If the sides are 20 m, 8 m, and 19 m, do they form a right triangle?

Back

No, because 20² ≠ 19² + 8² (400 ≠ 361 + 64).

Front

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

Back

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

Front

Find the missing side if one side is 5 and the hypotenuse is 13.

Back

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

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

What are the legs of a right triangle?

Back

The legs of a right triangle are the two sides that form the right angle.