Question

In triangle ABC, a = 18.2, ∠B = 62°, and ∠C = 48°. Find b 15

Answer 1

The answer is 17.1!
Round it and it'll become 17.

Answer 2

Measurement of side b = 17.1

Explanation:

In a given triangle ABC, it is given a = 18.2, ∠B = 62° and ∠C = 48° and we have to find the measurement of b.

Now by Sine Rule

`(sinB)/(b)=(sinA)/(a)`

Here ∠C and ∠B are given so we can get the measurement of ∠A.

∠A + ∠B + ∠C = 180°

∠A + 62 + 48 = 180

∠A = 180 - 110 = 70°

Now we put these values in the sine rule.

`(sin62)/(b)=(sin70)/(18.2)`

`(0.88)/(b)=(0.94)/(18.2)`

`b=((0.88)(18.2))/(0.94)=17.09`

Therefore measurement of side b will be 17.1