Q. 255.0( 2 Votes )

# Each of the equal

Answer : 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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