Question

6
The side of a triangle are in ralio 5:12: 13
and its perimeter is 150m.find the area of
the triangle.​

Answer 1

Answer:

750m^2

Step-by-step explanation:

Side of triangle are in ratio=5:12:13

perimeter=150 m

area=?

the sides are supposed as=5x ,12x, 13x

perimeter of a triangle =side 1+side2+side3

=>150=5x+12x+13x

=>150=30x

=>

$150 \div 30 = x$

=>5=x

Hence the sides are ,25, 60, 65 respectively

area of a triangle =

$\sqrt{s(s - a)(s - b)(s - c)}$

where

$s = (a + b + c) \div 2$

a=25,b=60,c=65

s=(25+60+65)÷2

s=75

$\sqrt{75(75 - 25)(75 - 60)(75 - 65)}$

$\sqrt{75 \times 50 \times 15 \times 10}$

$\sqrt{15 \times 5 \times 5 \times 10 \times 15 \times 10}$

=>15 × 10 × 5

=>

$750 {m}^{2}$