Question

HELPPP!! Calculate the side lengths a and b to two decimal places. (there is a picture included)

Answer 1

Answer:

Option (D)

Step-by-step explanation:

In the given triangle ABC,

Sum of all interior angles = 180°

m∠A + m∠B + m∠C = 180°

72° + 85° + m∠C = 180°

m∠C = 180 - 157

m∠C = 23°

By applying Sine rule in the triangle,

$\frac{\text{SinA}}{a}=\frac{\text{SinB}}{b}=\frac{\text{SinC}}{c}$

$\frac{\text{Sin72}}{a}=\frac{\text{Sin85}}{b}=\frac{\text{Sin23}}{6.2}$

$\frac{\text{Sin72}}{a}=\frac{\text{Sin85}}{b}=0.06302$

$\frac{\text{Sin72}}{a}=0.06302$

a = $\frac{\text{Sin72}}{0.06302}$ = 15.09

$\frac{\text{Sin85}}{b}=0.06302$

b = $\frac{\text{Sin85}}{0.06302}$

b = 15.81

Therefore, option (D) will be the answer.