Question-16785

Question Number 16785 by RasheedSoomro last updated on 26/Jun/17

Commented by RasheedSoomro last updated on 26/Jun/17

Without using area - formula find out

the ratio of shaded part to the whole .

Commented by mrW1 last updated on 26/Jun/17

{(\frac{\sqrt{3}}{2})}^{2} = \frac{3}{4}

Answered by sandy_suhendra last updated on 27/Jun/17

AB = BC = CD = DE = EF = FA = x

JK = KM = MN = NS = SP = \sqrt{\frac{1}{4} x^{2} + \frac{1}{4} x^{2} - 2 {(\frac{1}{2} x)}^{2} \cos 120 °} = \frac{1}{2} x \sqrt{3}

A_{JKMNSP} : A_{ABCDEF} = {(\frac{1}{2} x \sqrt{3})}^{2} : x^{2} = \frac{3}{4}

Commented by RasheedSoomro last updated on 28/Jun/17

T h a n k s SANDY!

Answered by RasheedSoomro last updated on 28/Jun/17

Commented by RasheedSoomro last updated on 28/Jun/17

Ratio of shaded part to whole

= \frac{small triangles in shaded part}{small triangles in whole}

= \frac{18}{24} = \frac{3}{4}

Commented by mrW1 last updated on 28/Jun/17

very fine!

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