Solve the triangle. Find the angles α and β first.
-$$\mathrm { a } = 8 , \mathrm {~b} = 8 , \mathrm { c } = 7$$
A) $\alpha = 64.1 ^ { \circ } , \beta = 51.8 ^ { \circ } , \gamma = 64.1 ^ { \circ }$
B) $\alpha = 51.8 ^ { \circ } , \beta = 64.1 ^ { \circ } , \gamma = 64.1 ^ { \circ }$
C) $\alpha = 64.1 ^ { \circ } , \beta = 64.1 ^ { \circ } , \gamma = 51.8 ^ { \circ }$
D) $\alpha = 65.1 ^ { \circ } , \beta = 65.1 ^ { \circ } , \gamma = 49.8 ^ { \circ }$

Question

Quizplus · Accepted Answer

Given a triangle with sides $a = 8$, $b = 8$, and $c = 7$, we can identify it as an isosceles triangle since two sides ($a$ and $b$) are equal. In an isosceles triangle, the angles opposite the equal sides are also equal. Therefore, angles $\alpha$ and $\beta$ must be equal. Using the Law of Cosines or recognizing the properties of an isosceles triangle, we can calculate the angles, and the correct answer will have $\alpha = \beta$ and a different value for $\gamma$.

Solve the Triangle a=8, b=8,c=7\mathrm { a } = 8 , \mathrm {~b} = 8 , \mathrm { c } = 7a=8, b=8,c=7

Solve the Triangle $\mathrm { a } = 8 , \mathrm {~b} = 8 , \mathrm { c } = 7$