Q. 255.0( 2 Votes )

Each of the equal

Answer :

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Let ABC be the isosceles triangle whose sides are AB = AC = 25cm, BC = 14cm.


Let us draw altitude AD such that AD BC.


We know that altitude bisects the opposite side.


So, BD = DC = 7cm.


In ADC, ADC = 90°.


We know that the Pythagoras Theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.


So, by applying Pythagoras Theorem,


AC2 = AD2 + DC2


(25 cm)2 = AD2 + (7 cm)2


625 cm2 = AD2 + 49 cm2


AD2 = 576 cm2


AD = 24 cm


The length of altitude is 24 cm.


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