Math, asked by sanamdargan12, 1 year ago

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

Answers

Answered by Anonymous

19

$<body bgcolor=pink><font color=purple>$

$\huge \tt {ANSWER:}$

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

FOLLOW ME PLEASE

Answered by Harshada2708

8

Answer:

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

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

Previous Question

Next Question

Similar questions

Math, 7 months ago

question no 20.108a² -3(b-c)²?factories ...

English, 7 months ago

5. Why did the narrator say, "To me it is but a worthless bauble?" A. Answer the following questions: 1. How did the narrator look at the photographer? 2. How long did the narrator wait? 3. Why did the photographer sigh twice ? 4. Why did the photographer ask him to come on Saturday answer the following questions?

Math, 7 months ago

what number must be added to each of the number 25 , 35,40,55, so that the new number are in the proportion...

Math, 1 year ago

which number is greater from each of following...

Physics, 1 year ago

- 1 Amour oli the ground. above energy A vessel containing 50kg of water is placed at a height 15m above the ground. Assuming the gravitational potential energy at ground to be 0,what will be the gravitational potential energy of water in the vessel?(g-10m s...

English, 1 year ago

The father saud how many marks have you scored in English my dear son change to indirect form of speech...

Science, 1 year ago

what is this circled with blue colour ...

Physics, 1 year ago

if an object weighs 200 N on earth what will be its weights on mars when the mass of mars is 0.11 times that of earth...