The perimeter of a triangle is 110 inches. the ratio of the side measures are 6: 7: 9. find the measure of each side.

The ratio of the side measures are 6:7:9.

Let's assume length of three sides of the triangle is 6x, 7x and 9x.

Given,perimeter of a triangle is 110 inches.. Perimeter is the sum of all three sides of the triangle. So, we can set up an equation as follows:

6x+7x+9x= 110

22x =110

Dividing each sides by 22.

x=5.

Now we can plug in x=5 in all the expressions of sides.

So, 6x=6(5)=30,

7x=7(5)=35

9x=9(5)=45.

So, the sides of the triangle are 30 inches, 35 inches and 45 inches.

answer:   x = 3 + √11     and     x = 3 - √11

step-by-step explanation:

x² - 6x + 9 = 11

(x - 3)² = 11

x - 3 = ±√11

    x = 3 ± √11

x = 3 + √11     and     x = 3 - √11