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ABC is a triangle and AD is perpendicula...

ABC is a triangle and AD is perpendicular to BC. It is given that the lengths of AB, BC, CA are all rational numbers. Which one of the following is correct?

A

AD and BD both must be rational.

B

AD must be rational but BD is not necessarily rational.

C

BD must be rational but AD is not necessarily rational.

D

neither AD nor BD is necessarily rational.

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The correct Answer is:
C
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LUCENT PUBLICATION-CENTRE OF TRIANGLE-EXERCISE-6A
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  2. Consider the following statements : Statement-I: Let PQR be a triang...

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  3. ABC is a triangle and AD is perpendicular to BC. It is given that the ...

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  4. The centroid of a triangle ABC is 8 cm from the vertex A. What is the ...

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  5. If distance of a vertex of an equilateral triangle from its centroid i...

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  6. In DeltaPQR, PQ = 4 cm, QR = 3 cm and RP = 3.5 cm, DeltaDEF is similar...

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  7. In DeltaABC AD is angle bisector such that BD : DC = 2 : 3. If AB = 7...

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  8. Assertion (A) : AD is angle bisector of angleA of the triangle ABC. If...

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  9. O is the incentre of ABC and angleA=30^(@). Accordingly what is angleB...

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  10. O is centroid of DeltaABC and AD, BE, CF are its three medians. If are...

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  11. O and C are respectively orthocentre and circumcentre of a Delta PQR. ...

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  14. ABC is a triangle median CD and BE intersects at point O then find the...

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  15. Let O be the in-centre of a triangle ABC and D be a point on the side ...

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  16. The radius of incirlce of an equilateral triangle is 3 cm. What is the...

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  17. I is the incentre of the triangle ABC. If angleABC=60^(@) and angleACB...

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  18. Which groups of centres of a triangle given below always lie in a stra...

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  19. If distance betweenn orthocentre and circumcentre of a triangle is 6 c...

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  20. Which pair of centres given below lie outside a acute angle triangle?

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