Question

The perimeter of a triangular field
is 450m and its sides are in the ratio
13:12: 5. Find its area​

Answer 1

Step-by-step explanation:

perimeter = sum of all sides

450m = 13x + 12x + 5x

450 m = 30x

450 m / 30 = x

15 m = x or x = 15 m

Now sides of triangle are as

13 x 15 = 195m

12 x 15 = 180m

5 x 15 = 75 m

Area of triangle

S = a+b+c / 2

S = 225

Area =

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

A= 3037500

Answer 2

Step-by-step explanation:

☆Solution☆

Given =》

Perimeter = 450m

Sides are in ratio 12:13:15

Answer:-

Area = 150√6

Need to Find =》

Area=?

Explanation =》

Let first be 12x

Second be 13x

Third be 15x

Semi perimeter = 450/2 = 225m

we know that,

Perimeter of a triangle= Sum of all Sides

450= 12x+13x+15x

450= 30x

450/30=x

x= 15m

Hence, Sides are :-

12x= 12×15= 195m

13x= 13×15= 180m

15x=15×15= 225m

By Using Heron's Formula

Area of triangle =》 √[s( s-a)(s-b)(s-c)

√225(225−195)(225−180)(225−225)

$\sqrt225×30×45×1$

$15 \sqrt30×9×5×1$

$15×3 \sqrt 30×5$

$30 \sqrt 150$

$30 \sqrt25×6$

$30×5 \sqrt 6$

$150 \sqrt6$

★Area of triangle is 150√6★