If AD=5\text{ cm}, BD=4\text{ cm} and CD=6\text{ cm}, then what is AB equal to?
Consider the following for the next two (02) items that follow: ABC is triangle in which AB=AC and D is any point on BC.
- A. 7 cm ✓
- B. 6.5 cm
- C. 6 cm
- D. 5.5 cm
Correct Answer: A. 7 cm
Explanation
Using the relation from the previous question: AB^2 - AD^2 = BD \times CD. Substituting the values, we get AB^2 - 5^2 = 4 \times 6 \implies AB^2 - 25 = 24 \implies AB^2 = 49. Therefore, AB = 7\text{ cm}.
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