Question

If the sides of a triangle are in the ratio 3:4: 5 and its perimeter is 480m. Find the length of its smallest side.

Answer 1

Given, ratio of sides of a triangle = 3:4:5

Sides= $3x, 4x$  and $5x$

$3x + 4x + 5x = 480m$

$12x = 480m$

$x =$$\frac{480}{12}$

$x = 40m$

Sides:

$3x= 3$ × $40$

$=120m$

$4x= 4$ × $40$

$=160m$

$5x = 5$ × $40$

$=200m$

Therefore, length of the its smallest side is $120m$