Math, asked by sanamdargan12, 8 months ago

if every side of a triangle is doubled then increase in the area of the triangle is

Answers

Answered by Anonymous

19

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$\huge \tt {ANSWER:}$

$\small \tt {Let's \: say \: that \: the \: sides \: of \: the \: triangle} \\ \small \tt {are \: a, \: b, \: c.}$

$\small \tt {So, \: If \: every \: side \: of \: a \: triangle}$

$\small \tt {is \: doubled \: then}$

$\small \tt {Semi-Perimeter \: = \: 2a + 2b + 2c/c = 2s}$

$\small \tt {Area \: of \: Triangle \: = \: \sqrt{2s (2s-2a)(2s-2b)(2s-2c)}}$

$\small \tt {Area \: of \: triangle \: = \: \sqrt{16 (s-a)(s-b)(s-c)}}$

$\small \tt {Area \: of \: triangle \: = \: 4 (s-a)(s-b)(s-c)}$

$\small \tt {Area \: of \: triangle \: = \: 4A [4(area)]}$

$\small \tt {Difference \: between \: the \: new \: area \: and}$

$\small \tt { original \: area \: = \: 4A - A = 3A}$

$\small \tt {Percentage \: = \: New \: Area/Original \: Area × 100}$

$\small \tt {Percentage \: = \: 3A/A × 100}$

$\small \tt {Percentage \: = \: 3 × 100 = 300 \%}$

$\small \tt {If \: every \: side \: of \: a \: triangle \: is \: doubled}$

$\small \tt {then \: increase \: in \: the \: area \: of \: the \: triangle}$

$\small \tt { is \: 300 \% \: or \: 4 \: times \: greater \: than \: the}$

$\small \tt {original \: area.}$

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Answered by Harshada2708

8

Answer:

If every side of a triangle is doubled then the area of the triangle would also become double.

$hope \: it \: helps \: dear....$

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