Question

The first side of a triangle is 9 m shorter than the second side. The third side is 3 times as long as the first side. The perimeter is 39 m. What is the length of the longest side?

Answer 1

Answer:

Longest side is 18 m

Step-by-step explanation:

1st side : x -9

3rd : 3(x-9)

If perimeter is 39, then, x + (x-9) + 3(x-9) = 39

5x -36 = 39

5x = 75

x = 15

Therefore,

1st side = 6

2nd side = 15

3rd side = 18

Answer 2

The sides of the triangles are 6, 15, and 18.

Triangle

Triangle has 3 sides and 3 angles.

Given

Let first, second and third sides are x,y, and z respectively.

Then

$x = y -9\\z = 3x$

Perimeter = 39 m

How to evaluate all the sides of the triangle?

$\begin{aligned} \rm Perimeter &= sum\ of\ all\ sides\ of\ triangle\\Perimeter &= x+y+z\\Perimeter &= x + x+9 +3x\\39 - 9 &= 5x\\5x &= 30\\x &= 6\\\end{aligned}$

Then

$x =6 \\y = x+9=6+9 =15\\z =3x=3*6=18$

Thus, the sides of the triangles are 6, 15, and 18.

More about the triangle link is given below.

https://brainly.com/question/25813512