Question

What is the length of leg s of the triangle below?

Answer 1

Answer:

i normally know these but i honestly dont know but can you please put branliest

Step-by-step explanation:

Answer 2

Step-by-step explanation:

Keep in mind that this triangle is a 45-45-90 triangle meaning that it's isosceles

This means that the other side is also equal to s

The best way to solve this is by using the pythagorean theorem

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

10$\sqrt{2}$ = c (because it's the hypotenuse or the longest side)

s = a

s= b

Substitute the values into the formula stated above

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

$s^{2}$+$s^{2}$ =(10$\sqrt{2}$$)^{2}$

Simplify

$2s^{2}$ = $(\sqrt{102} )^{2}$

$2s^{2}$= 102

Now continue simplifying till you completely solve it

$\frac{2s^{2} }{2}$= $\frac{102}{2}$

$s^{2}$= 51

$\sqrt{s^{2} }$ = $\sqrt{51}$

s=$\sqrt{51}$

I hope this helps!!!