Answer:
The length of one of its legs is [tex]5\sqrt{2}\ units[/tex]
Step-by-step explanation:
The question is
What is the length of one of its legs?
we know that
An isosceles triangle has two equal sides and two equal interior angles
In this problem we have an isosceles triangle
Let
x ----> the measure of one of its legs
Applying the Pythagorean Theorem
[tex]10^2=x^2+x^2[/tex]
solve for x
[tex]100=2x^2[/tex]
Divide by 2 both sides
[tex]50=x^2[/tex]
square root both sides
[tex]x=\sqrt{50}\ units[/tex]
simplify
[tex]x=5\sqrt{2}\ units[/tex]
