Question

In Triangle ABC , AD is perpendicular to BC. If AB = 6cm , BC = 10cm and AC = 8cm , find the area of triangle ABC. Also, find the length of AD

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Answer 1

Answer:

In right angles triangle BAC, AB=5cm and AC=12cm

Area of triangle=21×base×height=21×AB×AC

=21×5×12=30cm2

Now, in ΔABC,

Area of triangle ABC=21×BC×AD

⇒30=21×13×AD

⇒ AD=1330×2=1360cm.