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?

the length of the first side of the triangle is

the length of the second side of the triangle is

the length of the third side of the triangle is

Step-by-step 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

-----> equation A

 -----> equation B

The perimeter of the triangle is equal to

so

-----> equation C

substitute equation A and equation B in equation C

solve for x

Find the value of each side

the first side of a triangle is x

the second side of a triangle is y

the third side of a triangle is z

step-by-step explanation:

no, her answer is not correct.   we square the lengths of all sides and then determine whether the pythagorean theorem holds here:

9² + 15² = 306.   this is not equal to the square of the longest side ( that square being 395.   answer c is correct.