Question

The perimeter of a triangular field is 450m and its sides are in the ratio 13:12:5.Find the area of the triangle

Answer 1

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Answer:

6750 is correct answer dear

Answer 2

$\huge\red{\boxed{\blue{\mathcal{\overbrace{\underbrace{\fcolorbox{blue}{aqua}{\underline{\red{ANSWER}}}}}}}}}$

$\large\mathbf\pink{ let the side of the triangle }$

$a = 12x \\ b = 5x \\ c = 13x$

$\large\mathbf\pink{ Given that the perimeter =450m}$

$12x + 5x + 13 = 450 \\ 30x = 450 \\ x = 15$

$hence \: the \: sides \: of \: triangle \: are$

$a = 12x = 12(15) = 180m$

$b = 5x = 5(15) = 75m$

$c = 13x = (15) = 195m$

${\huge{\boxed{\tt{\color {red}{semi Perimeter of triangle}}}}}$

$\frac{a + b + c}{2} = \frac{180 + 75 + 195}{2} = \frac{450}{2}$

$area \: of \: triangle$

$\sqrt{225(225 - 180)(225 - 75)(225 - 195}$

$\sqrt{225 \times 45 \times 150 \times 30}$

$\sqrt{15 \times 15 \times 9 \times 5 \times 25 \times 6 \times 5 \times 6}$

$\sqrt{15 \times 15 \times 3 \times 3} \times 25 \times 25 \times 6 \times 6$

$= 15 \times 3 \times 25 \times 6$

$6750 \: m {}^{2}$

$\large\mathbf\pink{HENCE PROVE ✔}$