Question

the sides of the triangle are in the ratio 3 5 6 and its perimeter is 70 m find the area​

Answer 1

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the sides of the triangle are in the ratio 3 5 6 and its perimeter is 70 m find the area

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Answer 2

Answer:

Answer:

p = sum of sides of triangle

Let the common constant be x  

Therefore, sides of triangle 3x 5x  6x

3x + 5x + 6x = 70 m ( given )

14x = 70

x = 5

semi perimeter = 70 / 2 = 35

area of triangle =  $\sqrt{s(s-a)(s-b)(s-c)}$

$\sqrt{35 (35- 15) ( 35- 25) (35- 30)}$

= $\sqrt{35(20)(10)(5)}$

=$\sqrt{35000}$

=  50 $\sqrt{14}$ m