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The altitude of a right triangle …

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The altitude of a right triangle is 7 cm less than its base a. If the hypotenuse is 13 cm find the other two sides.

    • Posted by Rudra Prasad 5 years, 3 months ago

    CBSE > Class 10 > Mathematics
    • 1 answers

    Yogita Ingle 5 years, 3 months ago

    Let the base of the triangle  then altitude of the triangle 

                Hypotenuse = 13 cm

     By Pythagoras theorem

                (Hypotenuse) 2 = (Base)2 + (altitude)2

                

                

                

    Length can not be negative hence we choose x = 12 cm

    Altitude = x - 7 = 12 - 7 = 5 cm

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