Question

Struggling w this one..

Answer 1

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Find Height :
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$\text {Height = } \sqrt{s^2 - (0.5s)^2}$

$\text {Height = } \sqrt{s^2 - 0.25s^2}$

$\text {Height = } \sqrt{0.75s^2}$

$\text {Height = } \sqrt{ \dfrac{3s^2}{4} }$

$\text {Height = } \dfrac{ s\sqrt{3} }{2}}$

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Find area of triangle :
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$\text {Area of the triangle = } \frac{1}{2} \times s \times \dfrac{ s\sqrt{3} }{2}}$

$\text {Area of the triangle = } \dfrac{ s^2\sqrt{3} }{4}}$

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Find Shaded Region :
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$\text {Shaded part of the triangle = } \dfrac{1}{3} \times \dfrac{ s^2\sqrt{3} }{4}}$

$\text {Shaded part of the triangle = } \dfrac{ s^2\sqrt{3} }{12}}$