Question

In radian measure, the angles of a 45-45-90 triangle are:

A. Pi/4, Pi/4, Pi/2

B. Pi/3, Pi/3, Pi/2

C. Pi/8, Pi/8, Pi/2

D. Pi/6, Pi/6, Pi/2

Answer 1

pie/4 , pie/4 , pie/2

Answer 2

The answer is the option A
`(\pi)/(4),(\pi)/(4),(\pi)/(2)`

Explanation:

we know that

The measure of
`\pi` radians is equal to
`180\°`

so by proportion

Find the measure in radians of
`45\°`

`(\pi)/(180)(radians)/(degrees)=(x)/(45)(radians)/(degrees)\\ \\x=(45/180)*\pi \\ \\x=(\pi)/(4)`

Find the measure in radians of
`90\°`

`(\pi)/(180)(radians)/(degrees)=(x)/(90)(radians)/(degrees)\\ \\x=(90/180)*\pi \\ \\x=(\pi)/(2)`

therefore

In radian measure the angles are

`(\pi)/(4),(\pi)/(4),(\pi)/(2)`