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In an equilateral triangle ABC (Fig. 6....

In an equilateral triangle ABC (Fig. 6.2), AD is an altitude. Then `4AD^2` is equal to

A

`2BD^2`

B

`BC^2`

C

`3AB^2`

D

`2DC^2`

Text Solution

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The correct Answer is:
C
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NCERT EXEMPLAR-TRIANGLES-EXERCISE TRUE OR FALSE
  1. In an equilateral triangle ABC (Fig. 6.2), AD is an altitude. Then 4A...

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  2. The difference between the lengths of any two sides of a triangle is s...

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  3. Sum of any two angles of a triangle is always greater than the third a...

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  4. The sum of the measures of three angles of a triangle is greater than ...

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  5. It is possible to have a right-angled equilateral triangle

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  6. State True or False If M is the mid-point of a line segment AB, then...

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  7. It is possible to have a triangle in which two of the angles are right...

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  8. It is possible to have a triangle in which two of the angles are obtus...

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  9. It is possible to have a triangle in which two angles are acute.

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  10. State Whether Statements are True or False : It is possible to have...

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  11. State Whether Statement is True or False : It is possible to have a...

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  12. It is possible to have a triangle in which each angle is equal to 60°.

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  13. A right-angled triangle may have all sides equal.

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  14. A one rupee coin is congruent to a five rupee coin. (True/False)

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  15. Two acute angles are congruent

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  16. Two right angles are congruent

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  17. Two figures are congruent, if they have the same shape.

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  18. If the areas of two squares is same, they are congruent.

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  19. If the areas of two rectangles are same, they are congruent

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  20. If the areas of two circles are the same, they are congruent.

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  21. Two squares having same perimeter are congruent.

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