# The Solutions of the Questions - July

### How many triangles make a hexagon?

**Answer: **If you have six equilateral triangle you can get a hexagon! If you fold the triangle part of the image above, you will see that you cover the yellow hexagon!

### Which of the shape of the manhole cover don't fall in if it were inserted diagonally in the hole?

**Answer:** It is circle! If you don't belive us, why don't you design a triangle or a square one and try it yourself!

### Right triangle ABC has side lengths x + 1 , x − 1, and x. What is the value of x?

The Pythagorean theorem tells us, a² + b² = c².

So then we can write the quadratic equation like:

x² + (x-1)² = (x+1)²

x² + x² - 2x + 1 = x² +2x +1

2x² — 2x + 1= x² +2x +1

x² =4x

x=4

### If you zoom in a fly's eye, which geometric shape will you see?

The nature tells us it is a hexagon!