Math, asked by jeevanverma9021, 4 months ago


The sides of triangle are in ratio 3: 5:7 and its perimeter is 300 m find its area.

Answers

Answered by snehajadhav7774
0

Step-by-step explanation:

Ratio of sides = 3:5:7

Let sides be 3x, 5x, 7x

So 3x + 5x + 7x = 300m

15x = 300m

x = 20 m

Sides are 60m, 100m, 140m

sLet coefficient of ratios be X.

then,

3x+5x+7x=300

15x=300

X=20

Sides of triangle are :-

60 m + 100 m + 140 m

By Heron's formula,

We have,

\begin{gathered}s = \frac{a + b + c}{2} \\ s = \frac{300}{2} \\ s = 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} \\ = \sqrt{15 \times 9 \times 5 \times 10000} \\ = \sqrt{75 \times {3}^{2} \times {10}^{4} } \\ = \sqrt{75} \times 3 \times {10}^{2} \\ = \sqrt{75} \times 300 \\ = \sqrt{25 \times 3} \times 300 \\ = \sqrt{ {5}^{2} \times 3} \times 300 \\ = 1500 \times \sqrt{3} \\ = 1500 \sqrt{3} {m}^{2} \end{gathered}s=2a+b+cs=2300s=150area=s(s−a)(s−b)(s−c)=150(150−60)(150−100)(150−140)=150×90×50×10=15×9×5×10000=75×32×104=75×3×102=75×300=25×3×300=52×3×300=1500×3=15003m2

Answered by spandan2103
0

Answer:

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Step-by-step explanation:

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