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Find the maximum area that can be enclos...

Find the maximum area that can be enclosed in a triangle of perimeter 24 cm:

A

`32cn^(2)`

B

`16sqrt3cm^(2)`

C

`16sqrt2cm^(2)`

D

`27cm^(2)`

Text Solution

Verified by Experts

The correct Answer is:
B
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ARIHANT SSC-GEOMETRY-INTRODUCTORY EXERCISE - 12.2
  1. Delta ABC is an equilateral triangle of side 2a units. Find each of i...

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  2. In figure AD is the bisector of angleBAC. If BD = 2 cm, CD = 3 cm and ...

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  3. In the figure AB||QR. Find the length of PB:

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  4. In the figure QA and PB are perpendicular to AB. If AO = 10 cm, BO = 6...

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  5. In the given figure AB = 12, AC = 15 cm and AD = 6 cm. BC||DE, find th...

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  6. In the figure, ABC is a triangle in which AB = AC. A circle through B ...

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  7. In figure, ABC is a right triangle, right angled at B. AD and CE are t...

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  8. In a triangle ABC,AB = 10 cm, BC = 12 cm and AC = 14 cm. Find the leng...

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  9. triangle ABC is a right angled at A and AD is the altitude to BC. If A...

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  10. Area of DeltaABC=30cm^(2). D and E are the mid - points of BC and AB r...

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  11. The three sides of a triangles are given which one of the following is...

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  12. In the figure AD is the external bisector of angleEAC, intersects BC p...

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  13. In DeltaABC, AB^(2)+AC^(2)=2500cm^(2) and median AD = 25 cm, Find BC:

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  14. In the given figure, AB = BC and angleBAC = 15^(@), AB=10cm. Find the ...

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  15. In ABC, G is the centroid, AB = 15 cm, BC = 18 cm and AC = 25 cm. Find...

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  16. In thegiven figure, if (DE)/(BC)=(2)/(3) and if AE = 10 cm. Find AB :

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  17. Find the maximum area that can be enclosed in a triangle of perimeter ...

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  18. In the figure AD = 12 cm, AB = 20 cm and AE = 10 cm. Find EC :

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  19. In the given figure, BC=AC=AD, angleEAD=81^(@). Find the value of x :

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  20. What is the ratio of inradius to the circumradius of a right angled tr...

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