Question

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

Answer 1

Answer:

$\frac{\pi}{4},\frac{\pi}{2},\frac{\pi}{2}$

Step-by-step explanation:

We know the relation between radian and degree

π radian = 180 degrees

So, we have

$1^{\circ}=\frac{\pi}{180}$

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

$45^{\circ}=\frac{\pi}{180}\times45\\\\=\frac{\pi}{4}$

And 90 degrees in radian is equal to

$90^{\circ}=\frac{\pi}{180}\times90\\\\=\frac{\pi}{2}$

Therefore, in radian measure, the angles are

$\frac{\pi}{4},\frac{\pi}{2},\frac{\pi}{2}$

C is the correct option.

Answer 2

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