Pythagorean Theorem Lessons 1 through 3 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 12 cm and the other side is 16 cm, what is the length of the hypotenuse?

Back

Using the Pythagorean Theorem: c² = 12² + 16²; c² = 144 + 256; c² = 400; c = √400 = 20 cm.

Front

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

Back

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

Front

Can the Pythagorean Theorem be used for obtuse triangles?

Back

No, the Pythagorean Theorem cannot be used for obtuse triangles.

Front

If the hypotenuse of a right triangle is 25 cm and one side is 20 cm, what is the length of the other side?

Back

Using the Pythagorean Theorem: 25² = 20² + b²; 625 = 400 + b²; b² = 225; b = √225 = 15 cm.

Front

What is a right triangle?

Back

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

Front

If a triangle has sides measuring 7 cm, 24 cm, and 25 cm, is it a right triangle?

Back

Yes, because 7² + 24² = 25² (49 + 576 = 625).

Front

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

Back

In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Front

What is the length of the missing side if one side is 9 cm and the hypotenuse is 15 cm?

Back

Using the Pythagorean Theorem: 15² = 9² + b²; 225 = 81 + b²; b² = 144; b = √144 = 12 cm.