Question

The sides of a triangle are in the ratio 13 14 15 and its perimeter is 84 cm. Find the area of the triangle.​

Answer 1

Answer:

336 sq.cm

Step-by-step explanation:

Ratio of sides: 13:14:15

Sum of Ratios: 13+14+15 = 42

Therefore, First Side: (13/42)*84 = 26cm

Second Side: (14/42)*84 = 28cm

Third Side: (15/42)*84 = 30cm

Therefore, for the area we use Heron's Formula:

$\sqrt{s(s-a)(s-b)(s-c)}$, (S is half the perimeter)

$\sqrt{42(42-26)(42-28)(42-30)}$

$\sqrt{42(16)(14)(12)}$

$\sqrt{112896}$

336 sq.cm

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