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In an equilateral triangle ABC, if a, b ...

In an equilateral `triangle ABC`, if a, b and c denote the lengths of perpendiculars from A, B and C respectively on the opposite sides, then :

A

`a gtbgt c`

B

`agtbltc`

C

`a=b=c`

D

`a=cneb`

Text Solution

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The correct Answer is:
C
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ARIHANT SSC-GEOMETRY-INTRODUCTORY EXERCISE - 12.2
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  2. In a right angled DeltaABC, angleC=90^(@) and CD is the perpendicular ...

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  3. In an equilateral triangle ABC, if a, b and c denote the lengths of pe...

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  4. What is the ratio of side to the height of an equilateral triangle?

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  5. The triangle is formed by joining the mid point of the sides AB, BC an...

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  6. One side other than the hypotenuse of right angle isosceles triangle i...

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  7. Any two of the four triangles formed by joining the mid - points of th...

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  8. The internal bisectors of angleB and angleC of DeltaABC meet at O. If ...

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  9. The point in the plane of a triangle which is at equal perpendicular d...

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  10. Incentre of a triangle lies in the interior of :

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  11. In a triangle PQR, PQ = 20 cm and PR = 6 cm, the side QR is :

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  12. The four triangles formed by joining the pairs of mid - points of the ...

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  13. The circumference of the circle is 176m. Then the area of the circle i...

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  14. In a DeltaABC, a line PQ parallel to BC cuts AB at P and AC at Q. If B...

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  15. Sunil buys an article with 20% discount on its marked price. He makes ...

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  16. If D is such a point on the side, BC of DeltaABC that (AB)/(AC)=(BD)/(...

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  17. In right angled DeltaABC,angleB=90^(@), if P and Q are points on the ...

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  18. ABC is a right angle triangle at A and AD is perpendicular to the hypo...

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  19. If DeltaABC and DeltaDEF are so related the (AB)/(FD)=(BC)/(DE)=(CA)/(...

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  20. ABC is a right angle triangle at A and AD is perpendicular to the hypo...

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