Question

Solve each triangle. Round your answers to the nearest tenth.
m∠A = 60°, m∠B = 30°, c = 30 cm

Answer 1

mb = 30

Explanation:

i got it from me school

Answer 2

Angle C = 90°

a = 15sqroot3

b = 15

Explanation:

Solve a triangle means to find all the angles and all the sides.

Angle C must be 90° because all the angles of a triangle add up to 180°.

That makes this a 30°-60°-90° triangle so there are SHORTCUTS to finding the sides so you don't have to use trig or pythagorean thm.

SHORTCUT:

The shortest side is half the longest side. (The short leg is half the hypotenuse) and/or the longest side is twice the shortest side.

SHORTCUT:

The long leg is the shortleg•sqroot3

(advanced mode: the shortleg is the longleg/sqrt3)

So for your problem, the hypotenuse is 30, so the short leg is 15. And that makes the long leg 15sqrt3. See image.