Chapter 7.1-7.4 Review 2024

Front

What is the simplified form of √112?

Back

4√7

Front

In a right triangle, if the length of the hypotenuse is 20 feet and one leg is 16.8 feet, how do you find the length of the other leg?

Back

Use the Pythagorean theorem: a² + b² = c², where c is the hypotenuse.

Front

What type of triangle is formed by sides of lengths 9ft, 12ft, and 15ft?

Back

Right triangle.

Front

What is the Pythagorean theorem?

Back

a² + b² = c², where a and b are the legs of a right triangle and c is the hypotenuse.

Front

How do you determine if a triangle is acute, obtuse, or right based on its side lengths?

Back

Use the Pythagorean theorem: if a² + b² > c², it's acute; if a² + b² < c², it's obtuse; if a² + b² = c², it's right.

Front

What is the formula for the length of a leg in a right triangle if the hypotenuse and one leg are known?

Back

a = √(c² - b²), where c is the hypotenuse and b is the known leg.

Front

If a ladder rests against a wall forming a right triangle, how can you find the distance from the base of the ladder to the wall?

Back

Use the Pythagorean theorem: x = √(hypotenuse² - height²).

Front

What is the relationship between the sides of a 30-60-90 triangle?

Back

The lengths of the sides are in the ratio 1:√3:2.

Front

What is the relationship between the sides of a 45-45-90 triangle?

Back

The lengths of the legs are equal, and the hypotenuse is √2 times the length of a leg.

Front

How do you calculate the length of a walkway if it forms a right triangle with the height and the distance from the base?

Back

Use the Pythagorean theorem: walkway length = √(height² + distance²).