The midsegment through the legs of an isosceles triangle is 4 in. find the sides of the triangle if its perimeter is 20 in. 24 points

an isosceles triangle has two twin sides, stemming from a vertex.

now, the midsegment of any triangle, is half the length of the parallel base, or namely the base itself is twice as long as the midsegment, check the picture below.

so, we know the midsegment is 4, therefore the parallel base of it will be 8.

we know its perimeter is 20, and we also know the twin sides are, well twins, let's say they're "a" units long.

it's equivalent, so we can say that its equal.

let's call the denominator x and the numerador is 18 less then denominator, x - 18.

multiply

2.x = 5.(x - 18)

2x = 5x - 90

90 = 5x - 2x

90 = 3x

x = 90/3

x = 30

so:

14.3

step-by-step explanation:

add all the numbers together.

9 + 12 + 15 + 16 + 17 + 17 = 86

now, divide 86 by how many numbers we have: 6.

86 / 6 = 14.3