Find the area of an isocelas …

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Rashmi Bajpayee 8 years, 3 months ago
s = {tex}{{a + a + b} \over 2} = {{2a + b} \over 2}{/tex}
Now, Area of triangle = {tex}\sqrt {s\left( {s - a} \right)\left( {s - b} \right)\left( {s - c} \right)} {/tex}
= {tex}\sqrt {{{2a + b} \over 2}\left( {{{2a + b} \over 2} - a} \right)\left( {{{2a + b} \over 2} - a} \right)\left( {{{2a + b} \over 2} - b} \right)} {/tex}
= {tex}\sqrt {{{2a + b} \over 2}\left( {{{2a + b - 2a} \over 2}} \right)\left( {{{2a + b - 2a} \over 2}} \right)\left( {{{2a + b - 2b} \over 2}} \right)} {/tex}
= {tex}\sqrt {{{2a + b} \over 2}\left( {{b \over 2}} \right)\left( {{b \over 2}} \right)\left( {{{2a - b} \over 2}} \right)} {/tex}
= {tex}\sqrt {{{4{a^2} - {b^2}} \over 4}{{\left( {{b \over 2}} \right)}^2}} {/tex}
= {tex}{b \over 4}\sqrt {4{a^2} - {b^2}} {/tex}
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