Question

the 3 sides of triangle are n, 4n + 1 , 5n- 8. if the perimeter of the triangle is 93 cm, what is the length of each side?​

Answer 1

10, 41, 42

Explanation:

(n)+(4n+1)+(5n-8)=93 because triangle perimeter

10n-7=93

10n=100

n=10

Answer 2

Answer: 10 cm, 41 cm, and 42 cm

Explanation:

We can set up an equation knowing the perimeter to solve for the lengths of each side. Then, we will plug the value of n into the different expressions that represent each side.

Perimeter of a triangle:

P = side a + side b + side c

Plug in our known values:

93 cm = (n) + (4n + 1) + (5n - 8)

Simplify and combine like terms:

93 cm = n + 4n + 1 + 5n - 8

93 cm = n + 4n + 5n + 1 - 8

93 cm = 10n -7

Add 7 to both sides of the equation:

100 cm = 10n

Divide both sides of the equation by 10:

10 cm = n

n = 10 cm

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Solve for the lengths of each side:

n = 10 cm

4n + 1 = 4(10) + 1 = 40 + 1 = 41 cm

5n - 8 = 5(10) - 8 = 50 - 8 = 42 cm