Question

The area of a triangle find the measure VERY EASY

Answer 1

29°

Explanation:

First, we need to determine which values we can substitute for the variables:

• Since the area is 2073.77, we can substitute this value for A.
• Since the two sides are 59 m and 145 m, we can substitute these values for a and b.

Now we can being solving for C, the measure of the angle between the two sides:

Step 1: Simplify on the right-hand side:

2073.77 = /12(59)(145) * sin C

2073.77 = 4277.5 * sin C

Step 2: Divide both sides by 4277.5:

(2073.77 = 4277.5 * sin C) / 4277.5

2073.77/4277.5 = sin C

Step 3: Take the inverse sin of 2073.77/4277.5 to find the measure of angle C, the angle between the 59 m side and the 145 m side:

sin^-1 (2073.77/4277.5) = C

28.99995175 = C

29 = C

Thus, the measure of the angle between the two sides is 29°.