Question

If perimeter of a triangle is 24 cm and sides are in the ratio 2: 1: 3 ,then find the longest side

Answer 1

Heya...

Perimeter = Sum of all sides
Perimeter given = 24cm
Let the sides be x, 2x and 3x

x + 2x + 3x = 24
6x = 24
x = 24/6
x = 4

Sides = x = 4cm
2x = 2*4 =8cm
3x = 3*4 = 12cm

➡Longest side = 12cm

Answer 2

let the common ratio be x
therefore the sides are 3x,x and 2x
according to the condition,
2x+3x+x=24
6x=24
x=24/6=4
therefore ,the longest side= 3x=3×4 =12cm