Question

The sides of a triangular plot are in the ratio of 1:2:2 and its perimeter is 400 m.
Find its area.​

Answer 1

Answer:

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Answer 2

Answer:

Let the sides of triangle be = x ‚ 2x ,2x

ATQ

$x + 2x + 2x = 400 \\ 5x = 400 \\ x = \frac{400}{5 } \\ x = 80$

:. side of triangle with 1 ratio = 80m

side of triangle with 2 ratio = 2(80)m = 160m

By using Pythagoras property we will find the height of isosceles triangle

half of base = 80/2=40m

$(h) { }^{2} = (b) {}^{2} +( p) {}^{2} \\ (160 ) {}^{2} = (40) {}^{2} + (p) {}^{2} \\ 25600 = 1600 + p {}^{2} \\ 25600 - 1600 = p {}^{2} \\ 24000 = p {}^{2}$

$area \: of \: triangle \: = \frac{1}{2} \times base \times height \: \\ \frac{1}{2} \times 80 \times \sqrt{24000}$

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