Question : In the following figure, if PT = 12 cm and PB = 24 cm, then find AB.
Option 1: 24 cm
Option 2: 18 cm
Option 3: 16 cm
Option 4: 12 cm
Answer (1)
22nd Jan, 2024
Correct Answer: 18 cm
Solution :
PT = 12 cm
PB = 24 cm
Now, PT
2
= PA × PB
⇒ 12
2
= PA × 24
⇒ PA = $\frac{144}{24}$ = 6 cm
Also, PB = PA + AB
$\therefore$ AB = PB – PA = 24 – 6 = 18 cm
Hence, the correct answer is 18 cm.
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