A=15 And C=37,Find B.

A=15 and c=37,find b.

  In a triangle, use Pythagorean Theorem.

a^2 + b^2 = c^2

To get b, we must equate b^2 from the equation.

a^2 + b^2 = c^2
-a^2 -a^2

Cancel a^2 on the left side.
Leaving,

b^2 = c^2 - a^2

Now, we know that a = 15, we must find a^2:

a^2 = 15^2
a^2 = 225

And we also know that c = 37, so we must find c^2:

c^2 = 37^2
c^2 = 1,369

So,

b^2 = c^2 - a^2
= 1,369 - 225
= 1144

To get b:

sqrt(b^2) = sqrt(1144)
Cancel ^2 and sqrt

b = sqrt(1144)

We still need to simplify this,

sqrt(1144) = 2×sqrt(286)

Why?

1144 = 4 × 286

Since 4 is a perfect square, pull it out from 4 × 286.

Then, find the square root of 4, which is 2.

Leaving: