An isosceles right triangle has area . The length of its hypotenuse is
Explanation for the correct option:
Find the equal sides of the isosceles right-angled triangle
Let the equal sides (base and height) of the triangle be .
We know that the area of the triangle
Since it is given that the area of the isosceles right triangle is .
Now,
Find the length of the hypotenuse
Pythagoras's theorem states that:
Now, the hypotenuse will be,
Hence, the correct option is (a) .