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In an equilateral triangle, prove that t...

In an equilateral triangle, prove that three times the square of one side is equal to four times the square of one of its altitudes.

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In an equilateral triangle,prove that three xx the square of one side is equal to four xx the square of one of its altitudes.

Prove that in an equilateral triangle,three xx the square of a side is equal to four xx the square of its altitudes.

Prove that three xx the square of any side of an equilateral-triangle is equal to four xx the square of the altitude.

Prove that the sum of the squares of the sides of a rhombus is equal to the sum of the squares of its diagonals.

In an equilateral triangle with side a, prove that the altitude is of length (asqrt3)/2

Converse of Pythagoras theorem: In a triangle; If the square of one side is equal to the sum of the squares of the other two sides. then the angle opposite to the side is a right angle.

Prove that the sum of the squares of the diagonals of parallelogram is equal to the sum of the squares of its sides.

Prove that is a right angle triangle, the square of the hypotenuse is equal the sum of the squares of other two sides.

Prove that three times the sum of the squares on the sides of a triangle is equal to four times the sum of the square on the medians of the triangle.

Prove that, in a right-angled triangle, the square of hypotenuse is equal to the sum of the square of remaining two sides.

AGRAWAL PUBLICATION-TRIANGLES-EXAMPLE
  1. In the figure, DE||AC and DC||AP. Prove that (BE)/(EC)= (BC)/(CP)

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  2. Is it true to say that if in two triangles, an angle of one triangle i...

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  3. In an equilateral triangle, prove that three times the square of one s...

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  4. Kitchen garden of Ms. Sanjana is in the form of a triangle as shown. S...

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  5. Two spotlights, P and Q are mounted on a verticl pole AB as shown. Lig...

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  6. Two spotlights, P and Q are mounted on a verticl pole AB as shown. Lig...

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  7. triangle ABC ~ triangle DEF such that DE =3 cm, EF = 2 cm, DF = 2.5 cm...

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  8. P and Q are the points on the sides DE and DF of a triangle DEF such t...

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  9. Given that triangle PQR is similar to triangle BAR, find: the value of...

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  10. In the given figure, find the value of x in terms of a,b and c.

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  11. R and S are points on the sides DE and EF respectively of a triangle D...

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  12. Prove that the sum of the squares of the sides of a rhombus is equal t...

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  13. Areas of two similar triangles are 36 cm^2 and 100 cm^2. If the length...

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  14. In triangle ABC ~ triangle DEF, AB = 4 cm, DE =6cm , EF = 9 cm and FD...

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  15. In the figure if triangle ABC ~ triangle DEF and their sides of length...

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  16. In the figure, if angle 1 = angle 2 and triangle NSQ = triangle MTR, t...

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  17. Three 30^@ - 60^@ - 90^@ set squares are together as shown in the diag...

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  18. Three 30^@ - 60^@ - 90^@ set squares are together as shown in the diag...

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  19. In the figure, angle D = angle E and (AD)/(DB)=(AE)/(EC), prove that B...

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  20. In triangle ABC, angle B = 90^@ and D is the mid point of BC. Prove th...

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