What is AD equal to ?
Consider the following for the next two (02) items that follow :<br>ABC is a triangle right-angled at A. Further, AB=8 cm, BC=10 cm. D is the point on BC such that AD is perpendicular to BC.
- A. 4.8 cm ✓
- B. 5.0 cm
- C. 5.2 cm
- D. 5.4 cm
Correct Answer: A. 4.8 cm
Explanation
By Pythagoras, AC = \sqrt{10^2 - 8^2} = 6 cm. The area of the triangle is \frac{1}{2} \times AB \times AC = \frac{1}{2} \times 8 \times 6 = 24. Also, Area = \frac{1}{2} \times BC \times AD = 5 \times AD. Equating gives 5 \times AD = 24 \implies AD = 4.8 cm.
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