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ABC is a triangle right-angled at B and D is a point on BC produced (BD > BC), such that BD = 2 DC. Which one of the following is correct?

A

1. `AC^(2)=AD^(2)-3CD^(2)`

B

2. `AC^(2)=AD^(2)-2CD^(2)`

C

3. `AC^(2)=AD^(2)-4CD^(2)`

D

4. `AC^(2)=AD^(2)-5CD^(2)`

Text Solution

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The correct Answer is:
A
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LUCENT PUBLICATION-CONGRUENCE AND SIMILAR TRIANGLES -EXERCISE-5A
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  11. In Delta ABC, AD is the internal bisector of /A, meeting the side BC a...

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  13. D is any point on side AC of DeltaABC. If P,Q, X, Y are the mid points...

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  14. In Delta ABC, PQ is parallel to BC. If AP : PB = 1 : 2 and AQ = 3 cm, ...

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  16. ABC is an equilateral triangle. P and Q are two points on bar(AB) and ...

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  18. In triangle DeltaABC, points E and F lie on sides AB and AC such that ...

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