The measures of the sides of a triangle are 6x - 3, 8x + 3, and 6x + 4. What is the measure of each side if the perimeter is 84 mm?

A. 21 mm, 35 mm, and 28 mm

B. 0 27 mm, 33 mm, and 24 mm

C. 25 mm, 32 mm, and 27 mm

D. 24 mm, 31 mm, and 29 mm

a. 12 mm

The Pythagorean Theorem states that a^2 + b^2 = c^2 with a and b being lengths of legs and c being the length of a hypotenuse. So we can use our givens to solve for the remaining leg.  

9^2 + b^2 = 15^2

81 + b^2 = 225

b^2 = 144

b = 12

Step-by-step explanation:

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