How many triangles exist when the measure of angle B is 100 degrees, a =10 and b=5?

a. none
b. 1 triangle
c. 2 triangles

I have already solved this and I have found that there will be no triangle because by using the law of sines I found that the value is bigger than 1.

So, I am unsure if my answer is correct?

1 answer

correct,
I attempted to find angle A
sinA/10 = sin100°/5
sinA = 10sin100/5 = appr 1.97
not possible , so no such triangle can exist

Trust you math ability
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