Question

Pls ans this question plssssss

Answer 1

12x +17x + 25x = 540 cm
54x = 540 cm
x =540/54 =10cm
three sides are 120,170,250
area = 1/2×b×h= 1/2× 250 × h
=125h cm sq.

Answer 2

$\sf{\tiny{\boxed{\bold{Heya \: mate.\: Solution\: below}}}}$
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$<b><u><i><font color = "red">Answer - ↓↓↓</font color></i></u></b>$




♠ Let the sides of the triangle be 12x, 17x and 25x.



Then, it's perimeter,

$\sf{= sum\: of \: all\: sides}$

$\sf{= 12x + 17x + 25x}$

$\sf{= 54x}$



♠ But, given Perimeter (P) = 540.


$\sf{=⟩ 54x = 540}$

$\sf{=⟩ x = \frac{540}{54}}$

$\sf{=⟩ x = 10}$




♠ Therefore, the sides are,

12x = 12(10) = 120 cm

17x = 17(10) = 170 cm

25x = 25(10) = 250 cm




♠ And, semi-perimeter of the triangle (s),

$\sf{= \frac{P}{2}}$

$\sf{= \frac{540}{2}}$

$\sf{= 270}$




♠ Then, by Heron's Formula, area of the triangle,


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

$\sf{= \sqrt{270(270-120)(270-170)(270-250)}}$

$\sf{= \sqrt{270 \times 150 \times \times 100 \times 20}}$

$\sf{= \sqrt{81000000}}$

$\sf{= 9000}$




♥ •°• The area is 9000 cm². ♥
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Thank you... (^_-)