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Prove that the area of the euilateral tr...

Prove that the area of the euilateral traingle described on the side of a square is half the area of the equilatiral triangle described on it's square .
OR
In `Delta`ABC D,E, F are the midpoints of te sides BC, AC and AB respectively. Find the rations of the areas of `Delta`DEF `Delta`ABC

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CPC CAMBRIDGE PUBLICATION-PRACTICE QUESTION PAPER -QUESTIONS
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  2. If every square similar to every Rectangle ? Why ?

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  3. Find the HCF of 105 and 1515 by prime factorization method.

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  4. If sintheta - (4)/(5) and Cos theta = (3)/(5) find the value of Sin^(2...

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  6. Find the vaolume of the hemisphere of radius 21 cm.

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  7. Prove that sqrt(2) + sqrt(3) is an irrational number.

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  8. Prove that the area of the euilateral traingle described on the side o...

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  9. Mention the following with respect to the cubic polynomial ax^(3) + bx...

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  10. Draw a circle of radius 4 cm and construct a pair of langents to the c...

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  11. If alpha and beta are the zeroes of the polynomial f(x) = 3x^(2)+5x+7 ...

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  12. Find the maximum valume of a cone that can be carved out of a solid h...

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  13. A fraction becomes (8)/(11) if 3 is added to both the numerator and t...

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  14. Find two consecutive positive integers , sum of whose squares is 365.

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  15. Prove that the tangent at any point of a circle is perpendicular to th...

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  16. Solve graphically : 5x+y=7 and 2x-2y=2

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