Question

Use the Law of Cosines to find the missing angle. Find m∠B, given a = 11, b = 12, and c = 17.

Answer 1

If this is a regular triangle and not a right triangle, the answer would be approximately 44.66 degrees. 

Answer 2

Answer:

The measure of angle B is 44.66°.

Step-by-step explanation:

Given information: a = 11, b = 12, and c = 17

According to the law of cosine

$\cos B=\frac{a^2+c^2-b^2}{2ac}$

Where, a, b and c are sides of the triangle.

$\cos B=\frac{(11)^2+(17)^2-(12)^2}{2(11)(17)}$

$\cos B=\frac{121+289-144}{374}$

$\cos B=\frac{266}{374}$

$\cos B=0.711229946524$

$B=\cos^{-1} 0.711229946524$

$B=44.6649245311^{\circ}$

$B\approx 44.66^{\circ}$

Therefore, the measure of angle B is 44.66°.