Wonderful geometry

Geometry Level 3

{ y = 3 x + 2 y = 3 x + 22 \large \begin{cases} y = \sqrt{3} x + 2 \\ y = \sqrt{3} x + 22 \end{cases}

Four vertices of a square lies on the two lines above with each line contains two vertices. Find the area of the square.


The answer is 100.

Aziz Alasha by Aziz Alasha , 59, Sudan

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1 solution

Aziz Alasha
Aug 24, 2017

The Two lines are parallel , choose the point (0,2) which lies on the first line as one vertix , the( vertical) distance of This point from the second line = 22 − 2 3 + 1 \frac{22 -2}{ \sqrt{3+ 1}} = 10 = length of square.

Area = 100

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