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Standard X

Mathematics

Touching Circles Theorem

The angle A o...

Question

The angle A of the triangle ABC is a right angle. The circle with AC as diameter cuts BC at point D. If BD = 6 cm & DC = 18 cm , calculate the length of AB.

63 cm

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9 cm

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12 cm

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8 cm

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Solution

The correct option is C
12 cm

BD $\times$ BC = $A B^{2}$

$A B^{2}$ = 6 $\times$ 24

AB = 12 cm

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The angle A of the triangle ABC is a right angle. The circle with AC as diameter cuts BC at point D. If BD = 6 cm & DC = 18 cm , calculate the length of AB.

The correct option is C 12 cm BD×BC = AB2 AB2 = 6 × 24 AB = 12 cm

The correct option is C
12 cm

BD $\times$ BC = $A B^{2}$

$A B^{2}$ = 6 $\times$ 24

AB = 12 cm