Suppose ΔABC be a right-angled triangle where ∠A = 90° and AD ⊥ BC. If area (ΔABC) = 80 cm2 and BC = 16 cm, then the length of AD is:
Show answer & explanation
Correct answer: A
Explanation
The correct answer is Option 1 i.e. 10 cm.
Area of triangle = (1/2) × base × perpendicular ---- (1)
Area of triangle = 80
Base = 16
Height = AD
Using equation (1), we get
⇒ 80 = (1/2) × 16 × AD
⇒ AD = 80/8 = 10 cm