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A point D is taken on the side BC of a...

This question belongs to Arithmetic Ability Triangles
Triangles
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A point D is taken on the side BC of a right-angled triangle ABC, where AB is hypotenuse. Then

Answer & Solution
Correct Answer: Option A
According to question,
Triangles mcq solution image
In ΔABC
AB2 = AC2 + BC2 . . . . . . . (i)
ΔACD
AD2 = AC2 + CD2
AC2 = AD2 - CD2 . . . . . . . (ii)
Put the value of AC2 in equation (i)
AB2 = AD2 - CD2 + BC2
AB2 + CD2 = AD2 + BC2
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