Unit 3 Review

Front

What is the Pythagorean Theorem?

Back

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). Formula: a² + b² = c².

Front

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

Back

Use the Pythagorean Theorem: c = √(a² + b²), where c is the hypotenuse and a and b are the other two sides.

Front

What is the formula for the area of a triangle?

Back

Area = 1/2 * base * height.

Front

How do you round a number to the nearest hundredth?

Back

Look at the third decimal place. If it's 5 or more, round up the second decimal place by one. If it's less than 5, keep the second decimal place the same.

Front

What is a right triangle?

Back

A triangle that has one angle measuring 90 degrees.

Front

What is the square root of a number?

Back

A value that, when multiplied by itself, gives the original number. For example, √28 is approximately 5.3.

Front

What does it mean for a triangle to be a right triangle?

Back

It means that one of its angles is exactly 90 degrees.

Front

How do you solve for x in the equation x² + 5 = 69?

Back

Subtract 5 from both sides to get x² = 64, then take the square root: x = ±8.

Front

What is the distance formula in a coordinate plane?

Back

Distance = √((x2 - x1)² + (y2 - y1)²). It calculates the distance between two points (x1, y1) and (x2, y2).

Front

What is the definition of a right triangle?

Back

A triangle that has one angle that measures 90 degrees.