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the altitude of a right teangle est7cm Less than its base at the n eprotenuse is 13cm find the otherHomo sude |
Answer» <p>Let base be x cm , then altitude will be (x-7) cm.</p><p>Now , </p><p>By using pythagoras theorem-</p><p>132 = x2 + (x-7)2</p><p>169 = x2 + x2 + 49 - 14x</p><p>2x2 - 14x - 120 = 0</p><p>x2 - 7x - 60 = 0</p><p>x2 - 12x + 5x - 60 = 0</p><p>x ( x - 12 ) + 5 ( x - 12 ) = 0</p><p>Hence x = 12 </p><p>sO , Altitude is 5 cm</p><p>AND. ,</p><p>base = 12cm</p> <p>Attitude is 5cmandbase = 12cmanswer.</p> | |