The Law of Cosines
1 Use the Law of Cosines to Solve Oblique Triangles
-$$a = 9 , b = 9 , c = 8$$
A) $\mathrm { A } = 64 ^ { \circ } , \mathrm { B } = 64 ^ { \circ } , \mathrm { C } = 52 ^ { \circ }$
B) $\mathrm { A } = 65 ^ { \circ } , \mathrm { B } = 65 ^ { \circ } , \mathrm { C } = 50 ^ { \circ }$
C) $\mathrm { A } = 52 ^ { \circ } , \mathrm { B } = 64 ^ { \circ } , \mathrm { C } = 64 ^ { \circ }$
D) $\mathrm { A } = 64 ^ { \circ } , \mathrm { B } = 52 ^ { \circ } , \mathrm { C } = 64 ^ { \circ }$

Question

Quizplus · Accepted Answer

The Law of Cosines formula is $c^2 = a^2 + b^2 - 2ab\cos(C)$. Given $a = b = 9$ and $c = 8$, the triangle is isosceles with equal sides $a$ and $b$, leading to equal angles $A$ and $B$. Solving for angle $C$ using the Law of Cosines and subsequently calculating angles $A$ and $B$ yields $A = B = 64^\circ$ and $C = 52^\circ$.

The Law of Cosines 1 Use the Law of Cosines a=9,b=9,c=8a = 9 , b = 9 , c = 8a=9,b=9,c=8

The Law of Cosines
1 Use the Law of Cosines $a = 9 , b = 9 , c = 8$