Question

Find the approximate value of b in the triangle shown.
13
12
8
5​

Answer 1

The answer is D. 5

Explanation:

Answer 2

The side b is 5 units

Explanation:

Given the two sides of triangle and one angle of triangle we have to find the remaining side of triangle.

a=12 units

c=10 units

∠B=24°

we have to find the side b of triangle ABC

By cosine law,

`\cos B=(a^2+c^2-b^2)/(2ac)`

`\cos 24^(\circ)=(12^2+10^2-b^2)/(2(12)(10))=(144+100-b^2)/(240)`

`b^2=244-240\cos 24^(\circ)=24.7490901658`

`b=4.97\sim 5units`