Question

The perimeter of the triangle is 25 meters. The first side is 7 meters longer than the third side. The second side is 4 times the length of the third side. Find the sides of the triangles

Answer 1

if the 3rd side is x, then
x+7 + 4x + x = 25
x = 3
Now you know the 3 lengths

Answer 2

let the third side be x m
the the first side be x+7 m
the second side is 4x m

x + x+7 + 4x = 25
6x = 18
x = 3

the sides are 3 m, 10 m, and 12 m

Answer 3

f = first side

s = second side

t = third side

The first side is 7 meters longer than the third side. means:

f = t + 7

The second side is 4 times the length of the third side neans:

s = 4 t

Perimeter:

P = f + s + t = 25

t + 7 + 4 t + t = 25

6 t + 7 = 25

6 t = 25 - 7 = 18

t = 18 / 6 = 3

f = t + 7 = 3 + 7 = 10

s = 4 t = 4 • 3 = 12

First side = 10 m

Second side = 12 m

Third side = 3 m