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Question
In ΔABC, AD ⊥ BC. AB = 10 cm, BD = 6 cm, DC = 15 cm.
The value of x is ______.
Options
7 cm
8 cm
9 cm
5 cm
MCQ
Fill in the Blanks
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Solution
The value of x is 8 cm.
Explanation:
In ΔABC, AD ⊥ BC. AB = 10 cm, BD = 6 cm, DC = 15 cm.
In ΔABD,
By Pythagoras theorem,
AB2 = AD2 + BD2
102 = x2 + 62
100 = x2 + 36
x2 = 64
⇒ x = 8
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