∆ABC is right angled at A. AD is perpendicular to BC . If AB=12cm, Find the area of ∆ABC. Also find the length of AD.
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Step-by-step explanation:
In right angles triangle BAC, AB=5cm and AC=12cm
Area of triangle= 1/2×base×height= 1/2×AB×AC
= 1/2×5×12=30²cm
Now, in ΔABC,
Area of triangle ABC= 1/2×BC×AD
⇒30= 1/2×13×AD
⇒ AD= (30×2)/13 = 60/13cm.
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