Question

Find the area of a triangle whose sides are respectively 150cm, 120cm and 200cm.

Answer 1

area =
$\frac{1}{2} \times b \times h \: \\ \\ \\ so \: we \: will \:take \: 150 \: and \\ \: 120 \: \: cm \: \\ \\ \frac{1}{2} \times 150 \times 120 = 9000cm {2}^{2}$

Answer 2

$\huge{\underline{\underline{\red{♡Solution→}}}}$

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$\bold{\huge{\underline{\underline{\rm{ Given :}}}}}$

Sides -

a = 150 cm

cm b = 120 cm

cm c = 200 cm

$\bold{\huge{\underline{\underline{\rm{ To\:Find :}}}}}$

Area of Triangle .

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The herons formula to find Area of Triangle is :

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

Where P is half perimeter.

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

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$\purple{\bold{\underline{\underline{Step-by-step\:explanation:}}}}$

First find out the value of P.

$p = \frac{150+120+200}{2} \\ p = \frac{470}{2}$

$p = 235$

Now Area is ,

$a = \sqrt{235(235 - 150)(235 - 120)(235 - 200)} \\ a = \sqrt{235 \times 85 \times 115 \times 35}$

$a = \sqrt{80,399,375}$

$\boxed{a =8,966.56986 }$

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