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We have four sticks with length $2$ and two with length $a$, if we connect their end points to make a tetrahedron so that its opposite edges are respectively equal ...

$\left(\frac {13x-x^2}{x+1}\right) \left(x + \frac {13-x}{x+1}\right) = 4$

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If the roots of the equation above are $a$, $b$, $c$, and $d$, find ...

What is the ratio of the Blue area to the Yellow area to the Red area?

How it's made: A quarter-circle is constructed. A semi-circle is constructed on the ...

$S=\frac{a_0}{10^0}+\frac{a_1}{10^2}+\frac{a_2}{10^4}+\frac{a_3}{10^6}+\cdots$

Consider the infinite sum above, where the sequence $\left \{a_n \right \}$ is ...

It is easy to see that if two sides of a triangle are equal (i.e. if the triangle is isosceles), then the corresponding angle bisectors are equal as well ...

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