Question

the first side of a triangle is 3 m shorter than the second side the third side is 4 times as long as the first side the perimeter is 27 m find the length of each side.

Answer 1

I believe that when you calculate a triangles length that you must add all the sides together to get the perimeter.

Let's say that 3m is side A and 18m (that's what 4 times 3 is)is side B.

Therefore, A + B + C = 27m

The C would be the third side, which seems to be what you're looking for.

So, 3m + 18m = 21m

27m - 21m = 6m

Answer 2

Answer: First side =5 m

Second side= 2 m

Third side )=20 m

Explanation:

Let x be the length of the second side ( in meter) of the triangle .

Then, the first side will be x+3

And the third side will be 4(x+3).

Given : The perimeter of the triangle : 27 m

Then, we have :

`x+x+3+4(x+3)=27\\\\\Rightarrow\ 2x+3+4x+12=27\\\\\Rightarrow\   6x+15=27\\\\\Rightarrow\ 6x=27-15\\\\\Rightarrow\ 6x=12\\\\\Rightarrow\ x=(12)/(6)=2`

Thus , the length of second side= 2 m

Length of first side = 2+3=5 m

Length of third side = 4(5)=20 m