Struggling w this one..

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Find Height :
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[tex]\text {Height = } \sqrt{s^2 - (0.5s)^2} [/tex]

[tex]\text {Height = } \sqrt{s^2 - 0.25s^2} [/tex]

[tex]\text {Height = } \sqrt{0.75s^2} [/tex]

[tex]\text {Height = } \sqrt{ \dfrac{3s^2}{4} } [/tex]

[tex]\text {Height = } \dfrac{ s\sqrt{3} }{2}} [/tex]

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

[tex]\text {Area of the triangle = } \dfrac{ s^2\sqrt{3} }{4}} [/tex]

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

[tex]\text {Shaded part of the triangle = } \dfrac{ s^2\sqrt{3} }{12}} [/tex]