Puzzle 2

Hi! Since I'm bored and I'm stuck about how to edit the blog's HTML code, I've decided to make another puzzle. So from now on, I will post puzzle not once, but twice a week, on Wednesdays and Sundays! Here's your next puzzle! Please post your answers under the "comments"!

WHEN ANGLES GO ALL WRONG...

Difficulty: Hard

First, let's take a look at some basic stuff first.

ABCD is a square and diagonal BC cuts the square in half. So, we can say that angle BCD is 45 degrees.

Now, look closely at the following...

Suppose the above is a cube (I know it doesn't look like one but just imagine it is). What is the value of angle BCE in degrees?

Hint: It's not 90 degrees!

Now, drag your mouse over the space below to reveal the answer for Puzzle 1!

The answer is (D), 10 cm! The other answers are either too short or too long to be correct. For the full explanation, look below.

What's the fastest way to a certain place? Of course, it's by a straight line, from the location to the destination. Now, take it into context with the triangle.

Suppose the mystery side is this fastest line. So, the two points (location and destination) are on the top and the bottom. So, the fastest line must be less than 19cm + 16cm (35cm), or else the triangle will have 2 sides that are too short. (A) and (C) are more than 35cm, so there are out.

Now suppose the fastest line is the 19cm side. The two points are now on the lower left and the bottom. The fastest line must be less than 19cm-16cm (3cm). (B) is out, since it is less than 3 cm.

The only answer that fits the above requirements is (D)!

I know it sounds very chim, but you'll get it eventually.

:)

Glen