Question

if the side of a triangular plot
is in ratio 3:5:7with its perimeter 300cms. find the area of the triangular plot​

Answer 1

Answer:

2598 cm square

Step-by-step explanation:

let the sides of the triangle be 3x, 5x, 7x

ration of these three will be 3:5:7 so its fine.

now according to question,

3x+5x+7x=300,

15x=300,

x=20.

so the sides of the triangle will be 3x=60, 5x=100, 7x=140,

now on according heron's formula,

Area of the triangle =

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

where S=(a+b+c)/2,

on Applying this formula we get

S= (a+b+c)/2

= 300/2 as a+b+c is actually perimeter of the triangle

S=150,

put the value of S, a, b, c in the formula

we will get

$\sqrt{150 \times (150 - 60) \times (150 - 100) \times (150 - 140)}$

$\sqrt{150 \times 90 \times 50 \times 10}$

$\sqrt{15 \times 9 \times 5 \ \times 10000}$

$100 \times \sqrt{5 \times 3 \times 5 \times 9}$

$100 \times 5 \times 3 \times \sqrt{3}$

Area of the triangle will be 1500√3.

you can also put the value of root 3

and your answer will be 1500*1.7132

and your answer will be 2598