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# Solution for In an Isosceles Triangle Abc, If Ab = Ac = 13 Cm and the Altitude from a on Bc is 5 Cm, Find Bc. - CBSE Class 10 - Mathematics

ConceptApplication of Pythagoras Theorem in Acute Angle and Obtuse Angle

#### Question

In an isosceles triangle ABC, if AB = AC = 13 cm and the altitude from A on BC is 5 cm, find BC.

#### Solution

⇒ 25 + BD2 = 169

⇒ BD2 = 169 − 2 = 144

⇒ BD = sqrt144 = 12 cm

AB = AC                               [Each 13 cm]