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Hello, I would like to discuss the following question:

A rhombus has an area of 120. Given that the diagonals and sides are all integer values, what is the length …

The diagram shows a circle and a trapezium $ABCD$ in which $AD$ is parallel to $BC$ and $AB = DC$.

All four sides of $ABCD$ are tangents of the circle. …

The diagram shows a regular dodecagon and a square, whose vertices are also vertices of the dodecagon.

Find the value of the ratio

area of square: area of dodecagon

[UKMT …

This formula derivation was inspired by a math exercise I did in class (Which is weird cause the exercises in Math are almost all elementary).

You need to know basic …

The diagram shows a triangle $ABC$ with points $T, U$ on the edge $AB$, points $P , Q$ on $BC$ and $R, S$ on $CA$, where:

$SP$ and $AB$ are …

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