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DeltaABC is an isosceles triangle with A...

`DeltaABC` is an isosceles triangle with `AB=AC`, side BA is produced to D such that AB=AD. Prove that `angleBCD` is a right angle.

A

`60^(@)`

B

`90^(@)`

C

`120^(@)`

D

can't be determined

Text Solution

Verified by Experts

The correct Answer is:
B
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ARIHANT SSC-GEOMETRY-INTRODUCTORY EXERCISE - 12.2
  1. In the DeltaABC, BD bisects angleB, and is prpendicular to AC. If the ...

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  2. In the following figure ADBC, BD=CD=AC, angleABC=27^(@), angleACD=y. ...

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  3. DeltaABC is an isosceles triangle with AB=AC, side BA is produced to D...

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  4. In DeltaABC, AC=5cm. Calculate the length of AE where DE||BC. Given th...

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  5. In DeltaPQR, AP=2sqrt2cm, AQ=3sqrt2cm and PR = 10 cm, AB||QR. Find the...

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  6. AB, EF and CD are parallel lines. Given that EG = 5 cm, GC = 10 cm, AB...

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  7. In the adjoining figure PQ, QB and RC are each perpendicular to AC. Wh...

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  8. In the ajoining figure the angle BAC and angleADB are right angles . ...

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  9. The areas of the similar triangles are the ratio of 25:36. What is the...

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  10. In the given diagram AB||CD, then which one of the following is true ?

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  11. The bisector of the exterior angleA of DeltaABC intersects the side BC...

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  12. The diagonal BD of a quadrilateral ABCD bisects angleB and angleD, the...

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  13. Two right triangles ABC and DBC are drawn on the same hypotenues BC on...

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  14. A man goes 150 m due east and then 200 m due north. How far is he from...

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  15. From a point O in the interior of a DeltaABC perpendiculars OD, OE and...

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  16. In an equilateral triangle ABC, the side BC is trisected at D. Find th...

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  17. A B C is a triangle in which /A=90o,\ \ A N|B C ,\ \ B C=12 c m and...

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  18. A vertical stick 15 cm long casts it shodow 10 cm long on the gound. A...

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  19. Vertical angles of two isoceles triangles are equal. Then correspondin...

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  20. In the figure DeltaABC~DeltaPQ. If BC=8cm, PQ=4cm, AP=2.8cm, find CA :

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