Question

sides of a triangular plot are in the ratio 3 : 5 : 7 and its perimeter is 300 m. Find its area and the length of perpendicular drawn on the biggest side.

Answer 1

he sides of a triangular plot are given as 3:5:7.

Let the sides,

a=3x ;. b=5x ; c=7x.

Perimeter = 3x+5x+7x

300 = 15x

x = 300/15

x = 20.

Now,

a=3x=3×20

= 60m.

b=5x=5×20

= 100m.

c=7x=7×20

= 140m.

Therefore,

Semi perimeter = a+b+c/2

= 60+100+140/2

= 300/2

= 150m.

So,

Area = √s(s-a)(s-b)(s-c)

= √150(150-60)(150-100)(150-140)

= √150×90×50×10

= √30×5×30×3×5×10×10

= 30×5×10√3

= 1500√3......

length of perpendicular=(150*3^1/2)/7

hope it helps buddy

brainliest please

Answer 2

$\huge\underline\mathfrak\pink{♡Answer♡}$

Let the sides of a triangular plot is 3x , 5x and 7x 

3x + 5x + 7x = 300 m

15x = 300

x = 300/15 

x = 20

then the sides of triangular plot is 

3x = (3 × 20) = 60

5x = (5 × 20) = 100

7x = (7 × 20) =140

now the area of triangular plot is

area=

____________

√s(s-a)(s-b)(s-c)

________________________

√150(150-60)(150-100)(150-140)

1500√3m^2