Pythagorean Theorem Test w/ Angles

Front

What is the Pythagorean Theorem?

Back

The Pythagorean Theorem states that in a right triangle, the square of the length of the hypotenuse (side '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: c² = a² + b².

Front

What type of triangle does the Pythagorean Theorem apply to?

Back

The Pythagorean Theorem only applies to right triangles.

Front

What is the longest side of a right triangle called?

Back

The longest side of a right triangle is called the hypotenuse.

Front

If a triangle has sides of lengths 3 and 4, what is the length of the hypotenuse?

Back

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

Front

True or False: The Pythagorean Theorem can be used to find missing angles in a triangle.

Back

False. The Pythagorean Theorem is used to find missing sides only.

Front

In a right triangle, if one side is 5 and the hypotenuse is 13, what is the length of the other side?

Back

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

Front

What is the relationship between the angles in a right triangle?

Back

In a right triangle, one angle is always 90 degrees, and the sum of the other two angles is 90 degrees.

Front

If a right triangle has legs of lengths 8 and 15, what is the length of the hypotenuse?

Back

Using the Pythagorean Theorem: c² = 8² + 15²; c² = 64 + 225; c² = 289; c = 17.

Front

What is the formula to find the distance between two points in a coordinate plane?

Back

The distance formula is: d = √((x2 - x1)² + (y2 - y1)²).

Front

If John walks 6 blocks North and 8 blocks West, how far is he from the starting point?

Back

Using the Pythagorean Theorem: c² = 6² + 8²; c² = 36 + 64; c² = 100; c = 10 blocks.