Chapter 7.1-7.4 Test 2024

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). Formula: a² + b² = c².

Front

How do you determine if three lengths can form a triangle?

Back

To determine if three lengths can form a triangle, use the Triangle Inequality Theorem: the sum of the lengths of any two sides must be greater than the length of the third side.

Front

What is a right triangle?

Back

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

Front

What is an acute triangle?

Back

An acute triangle is a triangle where all three angles are less than 90 degrees.

Front

What is an obtuse triangle?

Back

An obtuse triangle is a triangle that has one angle measuring more than 90 degrees.

Front

What does it mean to leave answers in simplest radical form?

Back

Leaving answers in simplest radical form means expressing the answer as a square root that cannot be simplified further.

Front

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

Back

Use the Pythagorean Theorem: if you know the lengths of two sides, you can find the third side by rearranging the formula: c = √(a² + b²) for the hypotenuse, or a = √(c² - b²) for one of the legs.

Front

What is the formula for the area of a triangle?

Back

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

Front

What is the significance of the longest side in a triangle?

Back

In any triangle, the longest side is opposite the largest angle, and in a right triangle, it is the hypotenuse.

Front

What is a scalene triangle?

Back

A scalene triangle is a triangle where all three sides have different lengths.