Right Triangles

Front

What is a 45-45-90 triangle?

Back

A right triangle where the two legs are of equal length and the angles are 45°, 45°, and 90°.

Tags

CCSS.8.G.B.8

Front

How do you find the length of the other leg in a 45-45-90 triangle if one leg is known?

Back

The length of the other leg is the same as the known leg.

Tags

CCSS.8.G.B.8

Front

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

Back

In a 30-60-90 triangle, the lengths of the sides are in the ratio 1:√3:2.

Tags

CCSS.HSG.CO.C.10

Front

How do you find the long leg in a 30-60-90 triangle if the short leg is known?

Back

Multiply the length of the short leg by √3.

Tags

CCSS.8.G.B.8

Front

What is the Pythagorean theorem?

Back

In a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides (a² + b² = c²).

Tags

CCSS.8.G.B.8

Front

If one leg of a right triangle is 4 cm and the other leg is 3 cm, what is the length of the hypotenuse?

Back

5 cm (using the Pythagorean theorem: 4² + 3² = 5²).

Tags

CCSS.8.G.B.7

Front

What is the formula to find the area of a right triangle?

Back

Area = (1/2) × base × height.

Tags

CCSS.6.G.A.1

Front

In a 45-45-90 triangle, if one leg is 10 cm, what is the length of the hypotenuse?

Back

10√2 cm.

Tags

CCSS.8.G.B.8

Front

What is the value of sin(30°)?

Back

1/2.

Tags

CCSS.HSG.SRT.C.7

Front

What is the value of cos(60°)?

Back

1/2.

Tags

CCSS.HSG.SRT.C.7