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2 years ago

Please solve with explanation (high points)

Mathematics

1 answer:

IgorLugansk [536]2 years ago

7 0

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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anygoal [31]

You're welcome and don't mention it, beforehand.

There's so little to this problem, and it will do you so much
more good to work it out yourself, that I'm just going to
point you in the right direction and give you a little push:

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I know you know what the base and height are, because
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Write those numbers in the formula in place of the words:

<span>      A = (1/2) (base) (height)</span>

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Don't forget to keep the units when you multiply,
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The answer may be a big number, and you may want to
change it to meter² instead of cm², to make it a smaller
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If you do that, remember that

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