If sin X = 0.3240 and b = 40, what is the value of c

123.46 or 42.28

Step-by-step explanation:

Assuming that b is the leg side of a triangle and that c is the hypotenuse, we can solve for c using SOHCAHTOA.

We can find the angle from the equation sin X = 0.3240.

X = 0.3240

X = ...

Through SOHCAHTOA, we know that we should use either sin X =  or that cos X = .

I'm going to assume that we use sin X = since we are given a length b and not a length a. So:

sin 18.9050 =

c =   = 123.46

If we use cos X = , then:

cos 18.9050 =

c =   = 42.28

Not sure which one is correct since we are not given a picture of the sides.

proofs involving isosceles triangles often require special consideration because an isosceles triangle has several distinct properties that do not apply to normal triangles.(more about triangle types) therefore, when you are trying to prove that two triangles are congruent, and one or both triangles, are isosceles you have a few theorems that you can use to make your life easier.

step-by-step explanation:

an isosceles triangle has two congruent sides and two congruent angles. the congruent angles are called the base angles and the other angle is known as the vertex angle. ∠bac and ∠bca are the base angles of the triangle picture on the left. the vertex angle is ∠abc