2 years ago

What is the length of RS?

1 answer:

6 0

Answer:

The answer should be the second option or 10 cm.

The only thing is that PQ is just a little longer than RS and PQ is 10 cm but A. 15 cm is to long, C. 20 cm is also to long and D. 5 cm is to short.

So i belive it is B. 10 cm.

Hope this helped, can i have brainliest?

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IgorLugansk [536]

So, we know that:

$A=\dfrac{1}{2}ab\\P=a+b+c\\a^2+b^2=c^2$

We also know that $(a+b)^2=a^2+2ab+b^2$ . We will use that fact to find $c$ in terms of $A$ and $P$ .

$A=\dfrac{1}{2}ab\Rightarrow 2ab=4A\\P=a+b+c\Rightarrow a+b=P-c$

Therefore:

$(P-c)^2=c^2+4A\\P^2-2cP+c^2=c^2+4a\\2cP=P^2-4A\\c=\dfrac{P^2-4A}{2P}$

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Helen [10]

I believe that it is B. Hope this helps!

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