Question

Each side of an equilateral triangle subtends an angle of 60 at the top of a tower h m high located at the centre of the triangle. If a is the length of each side of the triangle, then

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Apoorva Sinha asked in Math

Each side of a square subtends an angle of 60 degree at the top of a tower h meters high standing in the centre of the square.If 'a' nis the length of each side of square, then prove that 3a2 = 2h2.

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Ayush Kumar Jha answered this
7341 helpful votes in Math, Class XII-Science

If your question is "Each vertices of a square subtends an angle of 60 degree at the top of a tower h meters high standing in the centre of the square.If 'a ' is the length of each side of square, then prove that 3a2 = 2h2." than the solution is

We have the following situation-



Since the sides of the square is a. So, length of the diagonal

So,



Since,



Now in triangle AOB,



Squaring both the sides we get,

 3a2 = 2h2

Hence proved

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