Question

The area of a triangle is 150 cm2 and its sides are in the ratio 3 : 4 : 5. What is its perimeter?

Answer 1

Let coefficient of ratios be X

a = 3x

b = 4x

c = 5x

Using Heron's Formula,

s = ( 3 + 4 + 5 ) x / 2

= 12x / 2

= 6x .

√ [ s ( s - a ) ( s - b ) ( s - c ) ]

√ 6x ( 6x - 3x ) ( 6x - 4x ) ( 6x - 5x )

√ 6x × 3x × 2x × 1x

√ 36x ^ 4

√ 6x ^ 2

Area = 150 ^ 2

6x ^ 2 = 150

x ^ 2 = 150 / 6

x ^ 2 = 25

x = 5 ^ 2 .

Now,

a = 5 × 3 = 15 cm

b = 5 × 4 = 20 cm

c = 5 × 5 = 25 cm

Perimeter = 15 + 20 + 25 = 60 cm.

hope it helps you mate .

please thank and ♏ark my answer as brainliest.

@ ANUSHA ❤✌