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45 votes
Calculate the leg of a right triangle whose area is 7m and its base is 10m

What is its leg of the right triangle?


User Moshe Eshel
by
3.2k points

2 Answers

27 votes
27 votes

Answer:

a=2 A/b

B=leg

A=area

a=2 A/b = 2·7 10 = 1.4

Explanation:

User Najeebullah Shah
by
2.7k points
19 votes
19 votes

We have your data Raised:


\bold{w = 7m}


\bold{b = 10m}

Now, well, to calculate the leg of a right triangle we must take its formula, which is the following:


\bold{c {}^(2) = a {}^(2) + b {}^(2) }

Once taking into account the formula we take the data that would be as follows:


\bold{c {}^(2) = 7 {}^(2) + 10 {}^(2) }

Now, what you have to do is the following, you can multiply it or you can also square it, in this case, I will multiply it.


\bold{c {}^(2) = 49 + 100}

Since, multiplying 7 twice gives 49 and if multiplying 10 twice gives 100, then, now we must add.


\bold{c {}^(2) = 149}

Adding
\bold{49 + 100} gives the result of
\bold{149}.


\bold{c = √( 149)}

The square root must be taken since as we can see that 149 can be taken by its half

Half of
\bold{149 \: is \: 20}, so therefore our result of the right triangle is
\bold{20m}.

[Graphic is attached]

Calculate the leg of a right triangle whose area is 7m and its base is 10m What is-example-1
User Zoltish
by
2.7k points
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