ABC is right angled at A AD is perpendicular to BC. If AB = 5 cm, BC = 13 cm and AC = 12 cm. Find the area of ABC. Also find the length of AD.


It is given in the question that,


AB = 5 cm


BC = 13 cm


AC = 12 cm


We know that,


Area of triangle = × Base × Height


Area of = × 5 × 12


= × 60


= 30 cm2


Area of triangle = × AD × BC


30 = × AD × 13


60 = AD × 13


AD =


= 4.6 cm


Area of ABC = 30 cm2


Length of AD = 4.6 cm


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