1.

In a trangle abc, ab=15cm,bc=13cm and ac=14cm. Find its area and hence it's altitude on ac

Answer»

S = (15 + 13 + 14)/2 = 21

Now APPLY herons formula

\sqrt{s(s - a)(s - b)(s - c)}

\sqrt{21(21 - 15)(21 - 13)(21 - 14)}

\sqrt{21 \times 6 \times 8 \times 7}

\sqrt{3 \times 7 \times 3 \times 2 \times 2 \times 2 \times 2 \times 7}

area = 84cm {}^{2}

Area = 1/2 × b × H

84 = 1/2 × 14 × h

(84 × 2)/14 = h

h = 12 cm


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