Which triangle has the greatest area? The least area? Explain your reasoning. here is link

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shamiya15

30.04.2021

Mathematics

$\qquad\qquad\huge\underline{{\sf Answer}}♨$

Let's solve ~

Circumference of a circle :

$\qquad \tt \dashrightarrow \:2 \pi r$

And we have been given that Circumference = 24 cm

So, let's equate them and find radius (r) :

$\qquad \tt \dashrightarrow \:2 \pi r = 24$

$\qquad \tt \dashrightarrow \:r = \dfrac{ 24}{2 \pi}$

$\qquad \tt \dashrightarrow \:r = \dfrac{ 12}{3.14}$

$\qquad \tt \dashrightarrow \:r = 3.82 \: \: cm$

So, we got the radius here. now let's equate it with expression in terms of x to find value of x

$\qquad \tt \dashrightarrow \: \sqrt{x + 2} = 3.82$

$\qquad \tt \dashrightarrow \:{x + 2} = (3.82) {}^{2}$

$\qquad \tt \dashrightarrow \:{x } \approx 14.59 - 2$

$\qquad \tt \dashrightarrow \:{x } \approx 12.59 \: \: cm$

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