Question

Free Brainliest! **PLEASE HELP**

Answer 1

Answer:

a = 12 units

Step-by-step explanation:

Answer 2

Answer:

a = 12 units

Step-by-step explanation:

Equation given is $a^2 + 16^2 = 20^2$

First we have to evaluate the powers.

$16^{2}$ = $16*16$=$256$

$20^{2}$ = $20*20$=$400$

So we can now write the equation again as:

$a^2 +256 =400$

Now we have to undo the addition,

$a^2=400-256$

$a^2=144$

Now we have to find the square root of $a^2$ to get the value of $a$

$\sqrt{a^{2}} = \sqrt{144}$

$a=12$  or $a=-12$

But the length of a leg cannot be a negative value, so we can take the +12.

a = 12 units