Answer:
AB ≈ 14.3
Step-by-step explanation:
We're given <em>two sides </em>(BC and CA) and an <em>angle </em>(C)<em> between them</em>; the <em>law of cosines </em>is a good tool for calculating the third side of the triangle here. To remind you, the law of cosines tells us the relationship between the sides of a triangle with side lengths a, b, and c:

Where C is the angle between sides a and b. c is typically the side we're trying to find, so on our triangle, we have

Substituting these values into the law of cosines:

Answer:
For the first question, he would raise $38.
Step-by-step explanation:
1 x 12 = $12
2 x 13 = $26
12 + 26 = $38
Answer:
Step-by-step explanation:
r=96/128=3/4
Answer:
D. m∠A=43, m∠B=55, a=20
Step-by-step explanation:
Given:
∆ABC,
m<C = 82°
AB = c = 29
AC = b = 24
Required:
m<A, m<C, and a (BC)
SOLUTION:
Find m<B using the law of sines:








m<B = 55°
Find m<A:
m<A = 180 - (82 + 55) => sum of angles in a triangle.
= 180 - 137
m<A = 43°
Find a using the law of sines:


Cross multiply


(approximated)