ABC is isosceles with AB = AC = 7.5 cm and BC = 9 cm. The height AD from A to BC, is 6 cm. Find the area of ABC. What will be the height from C to AB i.e., CE?

It is given in the question that,


ABC is isosceles triangle


AB = AC = 7.5 cm


BC = 9 cm


Height AD from A to BC = 6 cm


We know that,


Area of triangle = × Base × Height


Area of ABC = × BC × AD


= × 9 × 6


= 27 cm2


Area of ABC = × Base × Height


27 = × 7.5 × CE


54 = 7.5 × CE


CE =


= 7.2 cm


Hence,


The height from C to AB = CE = 7.2 cm


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