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The first side of a triangle is 3 inches shorter than the second side, and 2 inches longer than the third side. How long is each side, if the triangle has a perimeter of 28 inches?

User Elodie
by
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1 Answer

2 votes

Answer:

the length of the first side of the triangle is
(28)/(3)\ in

the length of the second side of the triangle is
(37)/(3)\ in

the length of the third side of the triangle is
(19)/(3)\ in

Explanation:

Let

x-----> the length of the first side of a triangle

y----> the length of the second side of a triangle

z---> the length of the third side of a triangle

we know that


x=y-3


y=x+3 -----> equation A


x=z+3


z=x-3 -----> equation B

The perimeter of the triangle is equal to


P=x+y+z


P=28\ in

so


28=x+y+z -----> equation C

substitute equation A and equation B in equation C


28=x+(x+3)+(x-3)

solve for x


28=3x


x=(28)/(3)\ in

Find the value of each side

the first side of a triangle is x


x=(28)/(3)\ in

the second side of a triangle is y


y=(28)/(3)+3=(37)/(3)\ in

the third side of a triangle is z


z=(28)/(3)-3=(19)/(3)\ in

User Birdcage
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