Question

The side length in centimeters of a triangle are 5x,32,and 2(3x+2) the perimeter of the triangle is 80 centimeters What is the length is centimeters of the shortest side of the triangle

Answer 1

the answer is 20

Explanation:

in the question they want the shortest side length of the triangle and they gave you the perimeter.

what we want to find is the x value.

so,

perimeter= the sum of all sides.

substituting,

80= 5x + 32 + 2 (3x+2)

80= 5x +32+6x+4

80=11x+36

80-36=11x

44=11x

44/11=x

4=x

so, the value of x is 4. then we substitute the 4 in each x to find our shortest length.

5*4=20

32

2 (3*4+2)=28

so the shortest length is 20.

we can also check our answer to see if it is correct.

20+33+28= 80.