Question

The side of a triangle are in the ratio 3:5:7and it perimeter is 150 cm, then its area in cm√is.

Answer 1

Answer:

3x+5x+7x=150

15x=150

x=10

Area=sqrt[s(s-a)(s-b)(s-c)]

Semi-perimeter (s)=150/2=75

a=30

b=50

c=70

Area=649.52 (cm)^2

Answer 2

Let’s take the sides of the triangle has 3x,5x,7x

Sum of sides of triangle = perimeter of triangle
=>3x+5x+7x = 150 cm
=>15x = 150 cm
=>x = 150 cm / 15
=>x= 10 cm

Now,
the sides are 30 cm(3x=3*10cm=30),50 cm(5x=5*10cm=50),70 cm(7x=7*10cm=70)

Area of triangle = square root of [s(s+a)(s+b)(s+c)]


Where a= 30 cm,b= 50 cm,c= 70 cm,s = perimeter/2=>75 cm

Area of triangle = square root of [75(45)(25)(5)]

When we simply it

We get the answer as 375*square root of 5 cm square