Question

Find the length of the midsegment.

Answer 1

Answer:

57

Step-by-step explanation:

The midsegment is one half the length of the third side of the triangle, that is

6x + 3 = $\frac{1}{2}$(3x + 87)

Multiply both sides by 2 to clear the fraction

12x + 6 = 3x + 87 ( subtract 3x from both sides )

9x + 6 = 87 ( subtract 6 from both sides )

9x = 81 ( divide both sides by 9 )

x = 9

Thus

midsegment = 6x + 3 = 6(9) + 3 = 54 + 3 = 57