Answer:
The correct answer is option C. 16√2
Explanation:
Points to remember
If the angles of a right angled triangle are 45°, 45° and 90° then the sides of the triangles are in the ratio 1 : 1: √2
To find the length of each leg of triangle
From the figure we can see that a right angled triangle with angles 45°, 45°, 90° and hypotenuse = 32
Therefore the sides are in the ratio 1 : 1 :√2
Leg1 : Leg2 : hypotenuse = 1 : 1 : √2 = x : x : 32
Therefore x = 32/√2 = 16√2
So the correct answer is option C. 16√2