Question

Given the measures a = 10, b = 40, and A = 30°, how many triangles can possibly be formed?

Answer 1

Answer:0

On edge

Explanation:

Answer 2

no triangle can be formed with the given values (i.e 0 triangle).

Explanation:

Given;

length of side a, = 10

length of side b, = 40

angle A, = 30°

Apply sine rule to determine the angle of the second side (B);

`(sin \ A)/(a) = (sin \ B)/(b) \\\\(sin \ 30^0)/(10) = (sin \ B)/(40)\\\\sin \ B = 40((0.5)/(10) )\\\\sin \ B = 2`

The maximum sine function is 1, there is no sine function that will be equal to 2, so there is no triangle that can be formed with the given values.