In an isosceles triangle, the length of equal sides is 10 cm and the length of an unequal side is 12 cm. What will be the length of the altitude drawn on the unequal side?
Correct Answer : a ) 8 cmExplanation :
Depicting the given information in the figure,
Property: In an isosceles triangle, altitude and median drawn on the unequal side is same.
Now, AD will also be the median for ∆ ABC
Thus, BD = DC = 12/2 = 6 cm
Now, Applying Pythagoras theorem in ∆ ADC
AC2 = AD2 + DC2
⇒ 102 = AD2 + 62
⇒ AD = 8 cm
Hence, (a) is the correct answer.
Such type of question is asked in various government exams like SSC CGL, SSC MTS, SSC CPO, SSC CHSL, RRB JE, RRB NTPC, RRB GROUP D, RRB OFFICER SCALE-I, IBPS PO, IBPS SO, RRB Office Assistant, IBPS Clerk, RBI Assistant, IBPS RRB OFFICER SCALE 2&3, UPSC CDS, UPSC NDA etc.