Quant Question Of The Day: 121
Geometry
Square ABCD has side length 2, and X is a point outside the square such that AX = XB = √2. What is the length of the longest diagonal of pentagon AXBCD?
Since AX = XB = √2 and AB = 2, we have ∠AXB = 90◦. Hence, the distance from X to AB is 1 and the distance from X to CD is 3.
The largest diagonals are thus
BX = CX =√(3² + 1²)
See our previous ‘Questions of the Day’:
Quant Question Of The Day: 120
Quant Question Of The Day: 119
Under root of 10