Q. 45

In an isosceles triangle ABC, if AB = AC = 25 cm and BC = 14 cm, then the measure of altitude from A on BC is
A. 20 cm

B. 22 cm

C. 18 cm

D. 24 cm

Answer :

Given in an isosceles ΔABC, AB = AC = 25 cm and BC = 14 cm


Here altitude from A to BC is AD.


We know in isosceles triangle altitude on non-equal sides is also median.


BD = CD = BC/2 = 7 cm


Applying Pythagoras Theorem,


AB2 = BD2 + AD2


252 = 72 + AD2


AD2 = 625 – 49 = 576


AD = 24


Measure of altitude from A to BC is 24 cm

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