Answer:
Option e is correct, as the length of legs are 10
none of these
Step-by-step explanation:
In 45-45-90 special triangle:
The length of the hypotenuse is [tex]\sqrt{2}[/tex] times the length of a leg.
As per the statement:
The hypotenuse of a 45-45-90 right triangle is [tex]10\sqrt{2}[/tex] units.
then by definition:
[tex]\text{Length of hypotenuse} =\sqrt{2} \times \text{Length of a leg}[/tex]
Substitute the given values we have;
[tex]10\sqrt{2}=\sqrt{2} \times \text{Length of a leg}[/tex]
Divide both sides by [tex]\sqrt{2}[/tex] we get;
[tex]10=\text{Length of a leg}[/tex]
Therefore, the length of legs are 10
