Question

Clear selection
The sides if a triangle are in the 1 point
ratio 3:5:7and its perimeter is
300cm .lt,s area will be :-
1000_/3 sq. cm
1500/3sq.cm
O 3000
1700​

Answer 1

$3x + 5x + 7x = 300$

$\implies \: 15x = 300$

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

$x = 20$

So the 3 sides are 60cm, 100 cm, 140 cm

Using Herons formula

$s = \frac{a + b + c}{2}$

$= \frac{60 + 100 + 140}{2}$

$= 150$

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

$= \sqrt{150(150 - 60)(150 - 100)(150 - 140)}$

$= \sqrt{150 \times 90 \times 50 \times 10}$

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