SOLUTION: 1.The sum of the sides of the triangle ABC is equal to 400 m. A = 38°, B = 58°. Find the side AC

Question 1193132: 1.The sum of the sides of the triangle ABC is equal to 400 m. A = 38°, B = 58°. Find the side AC
Found 2 solutions by josgarithmetic, greenestamps:
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
This may be not the best approach and is given as unfinished:
Draw and label the triangle.
x=AC
t=CB
By interior angles sum, the angle at C is 84 degrees.

Try Law Of Sines for setting up at least two equations.

Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

The law of sines says

In words, that says that the ratio of the lengths of the 3 sides of the triangle is the same as the ratio of the sines of the 3 angles.

So find the lengths of the sides by dividing the perimeter into three parts in the ratio of the sines of the three angles.

The side lengths are

CHECK:

AC is the side opposite angle B, which is the side of middle length, so

ANSWER: AC = 138 (rounded)

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