Question

The triangle has side lengths l,m, and n. Find the length of each side and the perimeter of the triangle. (PLEASE SHOW WORK)

Answer 1

The measure of the sides is 27, 23 and 16 and the perimeter is 56 respectively

The perimeter of a triangle

The triangle is a 2 dimensional shape that has 2 sides.

Given the following sides

l = m + n - 12

n = m - 7

m = l - 1/4n

l = m + 1/4n

Substitute

m + 1/4n = m + m - 7 - 12

m + 1/4(m-7) = 2m - 19

m + 1/4m - 7/4 = 2m - 19

-m + 1/4m = -19 + 7/4

-3/4m = -19(4)+7/4

-3/4m = -69/4

-3m = -69

m = 23

Hence the value of m from the given expression is 23

n = 23 - 7

n = 16

l = 23 + 16 -12

l = 39 - 12

l = 27

n = 23 - 7

n = 16

Hence the measure of the sides is 27, 23 and 16 respectively

Perimeter = 27+23+16

Perimeter = 56

Learn more on perimeter of triangle here: brainly.com/question/24382052

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