1.

Express x in terms of a, b and c.

Answer» \u200b\u200b{tex}\\triangle {/tex}\u200bABO \u200b{tex} \\bot {/tex}\u200b \u200b{tex}\\triangle {/tex}\u200bOCD\u200b{tex}\\Rightarrow {/tex}\u200b {tex}\\frac{x}{a} = \\frac{{x + b}}{c}{/tex}\u200b{tex}\\Rightarrow {/tex}\u200bx = ax + xb{tex}\\Rightarrow {/tex} x (c - a) = ab\u200b{tex}\\Rightarrow {/tex}\u200b {tex}x = \\frac{{ab}}{{c - a}}{/tex}


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