Question

The shorter leg of a 30°- 60°- 90° right triangle is 7.5 inches. How long is the longer leg and the hypotenuse?

Answer 1

Answer:

Answer:

The longer leg is  

7.5

√

3

inches.

The hypotenuse is  

15.0

inches.

Explanation:

A right triangle with angles  

30

∘

−

60

∘

−

90

∘

is one of the standard trigonometric triangles with sides in the ratio:

XXXX

1

:

√

3

:

2

If the shortest side is 7.5 inches,

the other two sides are

XXXX

7.5

√

3

and

15.0

inches.