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

Question

perimeter of a triangle 

Answer 1

Here's what we know:

a = b - 3 → b = a + 3 (the second side is 3 more than the first)

c = 4a (the third side is 4 times the length of the first)

a + b + c = 27 (the perimeter of the triangle sums up to 27 meters)

 

Let's plug in the variable values into the equation:

a + a + 3 + 4a = 27

Simplify:

6a + 3 = 27

Subtract 3:

6a = 24

 

Divide both sides by 6, and you'll have the length of the short leg. You can then use that to find the other sides.