Question

PLEASE HELP!!!!!!!! FIRST TO ANSWER WILL GET BRAINLIEST!!!

Answer 1

If you are not familiar with the Pythagorean theorem, I will write it below to remind you for your future mathmatical endeavours:

${a}^{2} + {b}^{2} = {c}^{2}$

c is the hypotenuse, and a and b are the other two sides. The hypotenuse is the largest side of a triangle. In this example, a and b are equal to each other and c is equal to 2, so I'm going to convert b into a and do some math trickery here:

${a}^{2} + {a}^{2} = 4$

$2 {a}^{2} = 4$

Basically, I swapped b with a and combined like terms. Then I just replaced c with 2, then squared it into 4.

All you have to do now is solve for a

Step 1 is to divide both sides by 2 to get:

${a}^{2} = 2$

Then just square both sides:

$a = \sqrt{2}$

Now you know that the length of the sides are equal to the square root of 2.

Sorry if this was a bit rushed, I hate running out of time on these. If you have any questions on why I did something, ask away in the comments.