Mathematics
In the adjoining figure, AC =
17 cm
20 cm
22 cm
24 cm
Pythagoras Theorem
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Answer
In △ BCD,
By pythagoras theorem,
Hypotenuse2 = Base2 + Height2
⇒ CD2 = BD2 + BC2
⇒ 102 = BD2 + 82
⇒ 100 = BD2 + 64
⇒ BD2 = 100 - 64
⇒ BD2 = 36
⇒ BD =
⇒ BD = 6 cm
From figure,
AB = AD + BD = 9 + 6 = 15 cm
In △ ABC,
Using pythagoras theorem,
⇒ AC2 = AB2 + BC2
⇒ AC2 = 152 + 82
⇒ AC2 = 225 + 64
⇒ AC2 = 289
⇒ AC =
⇒ AC = 17 cm
Hence, option 1 is the correct option.
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Related Questions
In △ABC, ∠B is a right angle. If D is the foot of the perpendicular drawn from B on AC, then:
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