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If Delta is the area of a triangle with...

If `Delta ` is the area of a triangle with side lengths a , b , and c , then

A

`4 Delta ge sqrt(abc(a + b + c))`

B

`Delta ge sqrt(abc(a + b+ c))`

C

`4 Delta lesqrt(abc(a+b+c))`

D

`Delta lesqrt((a+b+c)abc)`

Text Solution

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The correct Answer is:
C
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AAKASH SERIES-PROPERTIES OF TRIANGLES-LECTURE SHEET EXERCISE - III (Straight Objective Type Question)
  1. Statement-I : If side BC and radiu of r(2)a nd r(3) of an acute angled...

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  2. If alpha, beta, gamma are lenghts of internal bisectors of angles A,B,...

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  3. If Delta is the area of a triangle with side lengths a , b , and c , ...

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  4. A circle is inscribed in an equilateral triangle of side a, The area o...

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  5. 3 - Circles with radii a, b, c touch one another externally tangents a...

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  6. Delta^("le") ABC is equilateral triangle of side a.P lies on BA such t...

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  7. A triangle has sides 6,7 and 8. The line through its incentre parallel...

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  8. If p(1), p(2), p(3) are respectively the perpendiculars from the verti...

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  9. If P(1),P(2),P(3) are altitudes of a DeltaABC then show that (1)/...

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  10. If p(1), p(2), p(3) are respectively the perpendiculars from the verti...

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  11. If p(1), p(2), p(3) are respectively the perpendiculars from the verti...

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  12. The legs of a right triangle are a and b the linc segment of length d ...

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  13. The length of medians of a Delta^("le") ABC are 6, 8 , 10 then its ar...

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  14. In DeltaABC if r(1)=2r(1)=3r(3) and D is the mid point of BC then cos ...

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  15. In DeltaABC, if a=7 b=8, c=9 then the distance from the vertex B to th...

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  16. In triangle ABC, medians AD and CE are drawn. If AD = 5, angle DAC = p...

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  17. If the median of DeltaABC through A is perpendicular to AB then tan A+...

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  18. Let l(1), l(2), l(3) be the lengths of the internal bisectors of angle...

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  19. In trianle ABC, CD is the bisector of the angle C. if cos . C/2 = 1/3 ...

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  20. If AD, BE , CF are internal bisectors of the angles of Delta ABC, " th...

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