Chapter 12.8, Problem 6OE

To determine

Give the name of law that can be used first to solve the triangle if the measurements are $a=17,\angle B=20°\text{ and }\angle C=60°$ .

Answer to Problem 6OE

The law of sine is used for triangle which has $a=17,\angle B=20°\text{ and }\angle C=60°$ .

Explanation of Solution

Given information: The given measurements of triangle are $a=17,\angle B=20°\text{ and }\angle C=60°$ .

Calculation: Since the given triangle has $a=17,\angle B=20°\text{ and }\angle C=60°$ . Therefore the given triangle has the case of ASA (angle-side-angle) where (S) is the included side between the given two angles. Therefore first evaluate the third angle $\left(\angle A\right)$ and then law of sine can be used to determine other sides.