Answer:
7.78 or [tex]\frac{11}{\sqrt{2} }[/tex]
Step-by-step explanation:
here we are given a right angle triangle , and in a right triangle , sum of squares of sides is equal to the square of hypotenuse.
[tex]a^2+b^2=c^2[/tex]
This is right angle scalene triangle as the two angles other than right angle are 45° each.
Hence ,
in this case we have
[tex]a^2+a^2=c^2[/tex]
[tex]2a^2=c^2[/tex]
[tex]a^2=\frac{c^2}{2}[/tex]
Taking square roots on both sides
[tex]a=\frac{c}{\sqrt{2}}[/tex]
Here we have hypotenuse c given as 11
hence
[tex]a=\frac{11}{\sqrt{2}}[/tex]
Answer
