Question

the sides of a triangle are in the ratio 25:14:12 and perimeter is 510cm find area​

Answer 1

Answer:

5000

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Step-by-step explanation:

first, we must find the length of each side.

25n + 14n + 12n = 510cm

51n = 510cm

n = 10cm

25n = 250cm

14n = 140cm

12n = 120cm

now, using Heron's formula, we will find the area of the triangle.

s = (perimeter)/2 = 510/2cm = 255cm

a = side 1 = 250cm

b = side 2 = 140cm

c = side 3 = 120cm

$\sqrt{s(s-a)(s-b)(s-c)} \\= \sqrt{255(255-250)(255-140)(255-120)}\\= \sqrt{255*5*115*135}\\= \sqrt{25000000}\\ = 5000$