Suppose ΔABC be a right-angled tri

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Geometry

Question:

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:

Options:

10 cm

24 cm

18 cm

12 cm

Correct Answer:

10 cm

Explanation:

As ΔABC , BC = base of ΔABC and AD = Height of ΔABC

According to the question,

⇒ \(\frac{1}{2}\) x AD X BC = area(ΔABC)

⇒ \(\frac{1}{2}\) x AD X 16 = 80

⇒ AD = 10 cm.

Therefore, AD is 10 cm.