Question

a triangle shaped land has the sides in the ratio 3:5:7, if it's parimeter is 300 meter what will be the area of the land? options 1500√3, 1500,500√3,100 ​

Answer 1

Answer:

your answer is 1500√3

Step-by-step explanation:

plz follow me to get such more correct answer

Answer 2

$\huge \tt \green{hello \: mate}$

$\huge \tt{solution - }$

Let the three sides of the triangle be 3x , 5x , 7x.

Perimeter = 300m

we know that,

perimeter = sum of all the three sides

300 = 3x+5x+7x

300 = 15x

$x = \frac{300}{15}$

x = 20.

therefore,

3x = 3×20 => 60m

5x = 5×20 => 100m

7x = 7×20 => 140m

let the three sides of triangle be a,b,c.

$\tt{by \: using \: herons \: formula}$

semiperimeter = 300/2

= 150m

Area =√s(s-a) (s-b) (s-c)

= √ 150(150-60) (150-100) (150-140)

= √ 150 × 90 × 50 × 10

= √ 5×5×3×2×3×3×2×5×5×5×2×5×2

= √ 5²×3²×2²×5²×5²×2²×3

= 5×3×2×5×5×2√3

= 1500√3 ........ answer.

$\tt \red{answer \: = 1500 \sqrt{</em><em>3</em><em>}}$