29isbs math puzzle 113

1. What is the area of the triangle formed by the points (-1,2), (0,0), (1,-2)?

2. If x^4 = 332150625, then how many digits does x have?

Solution

1) Zero

Explanation: Since the given points are collinear (they all lie on a same straight line y=-2x) there exist no triangle through them.

2) 3 digits

Explanation: Since, (135)^4 = 332150625, x = 135 and it contain 3 digits.