7.1-7.3 Review

Front

What is the formula for the Pythagorean theorem?

Back

a² + b² = c², where c is the hypotenuse and a and b are the other two sides.

Tags

CCSS.8.G.B.8

Front

In a 30-60-90 triangle, what are the ratios of the lengths of the sides?

Back

1 : √3 : 2, where 1 is the length of the shorter leg, √3 is the length of the longer leg, and 2 is the length of the hypotenuse.

Tags

CCSS.HSG.CO.C.10

Front

How do you simplify a radical expression?

Back

To simplify a radical, factor the number under the radical into its prime factors and look for pairs of factors.

Front

What is the length of the hypotenuse in a right triangle if the legs are 6 and 8?

Back

10, calculated using the Pythagorean theorem: √(6² + 8²) = √(36 + 64) = √100 = 10.

Tags

CCSS.8.G.B.7

Front

What is the definition of a radical?

Back

A radical is an expression that includes a root, such as a square root, cube root, etc.

Tags

CCSS.8.NS.A.1

Front

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

Back

Use the Pythagorean theorem: a² + b² = c², solving for the missing side.

Tags

CCSS.8.G.B.7

Front

What is the long leg in a 30-60-90 triangle?

Back

The long leg is the side opposite the 60-degree angle, which is √3 times the length of the shorter leg.

Tags

CCSS.HSG.CO.C.10

Front

What does it mean to 'simplify' a radical expression?

Back

To express the radical in its simplest form, removing any perfect square factors from under the radical.

Front

What is the value of √(72)?

Back

√(72) = 6√2, simplified by factoring 72 into 36 and 2.

Front

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

Back

In a 45-45-90 triangle, the legs are equal, and the hypotenuse is √2 times the length of each leg.

Tags

CCSS.8.G.B.8