Question

The sides of a triangle are in ratio 2:3:4. If it's perimeter is 225 units, find the smallest side.

• A. 25 units
• B. 100 units
• C. 50 units
• D. 16 units

Answer 1

The correct option is C 50 units

Ratio of sides is given as 2:3:4

So measure of the sides will be 2$x$, 3$x$ and 4$x$

Perimeter = 225 units.

So 2$x$ + 3$x$ + 4$x$ = 225

9$x$ = 225

Dividing by 9 on both sides,

$x$ = 25

The smallest side = 2$x$ = 2$\times$25 = 50 units.

Hence ‘option c’ is correct.