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

Question

asked Nov 7, 2023 48.3k views

2 Answers

Rob Rodi · Answer 1 · 2023-11-12T06:16:35+0000

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]