Question

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

Answer 1

45, 45, 90

45 *π/180 = π/4
90 *π/180 =π/2

45, 45, 90 is the same as π/4, π/4, π/2

Answer 2

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

Explanation:

We know the relation between radian and degree

π radian = 180 degrees

So, we have

`1^(\circ)=(\pi)/(180)`

Using this relation, we convert all the angle which is in degree to radian.

`45^(\circ)=(\pi)/(180)*45\\\\=(\pi)/(4)`

And 90 degrees in radian is equal to

`90^(\circ)=(\pi)/(180)*90\\\\=(\pi)/(2)`

Therefore, in radian measure, the angles are

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

C is the correct option.