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(Pythagoras’s Theorem) Prove by vector m...

(Pythagoras’s Theorem) Prove by vector method that in a right angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

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Theorem 6.8 : In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

PYTHAGORAS THEOREM : In a Right angled triangle; the square of hypotenuse is equal to the sum of the squares of the other two sides.

Show that in a right angled triangle, the hypotenuse is the longest side.

In a right angled triangle, five times the square on the hypotenuse is equal to four times the sum of the squares on the medians drawn from the acute angles. Prove it.

Prove by vector method that the sum of the square of the diagonals of a parallelogram is equal to the sum of the squares of its sides.

prove by vector method that the sum of the squares of the diagonals of a parallelogram is equal to the sum of the squares of its sides.

Equilateral triangles are drawn on the sides of a right triangle. Show that the area of the triangle on the hypotenuse is equal to the sum of the areas of triangles on the other two sides.

Equilateral triangles are drawn on the sides of a right triangle. Show that the area of the triangle on the hypotenuse is equal to the sum of the areas of triangles on the other two sides.

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

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

RD SHARMA ENGLISH-SCALAR OR DOT PRODUCT-All Questions
  1. In a triangle O A B ,\ /A O B=90^0dot If P\ a n d\ Q are points of tri...

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  2. Prove that; If the diagonals of a quadrilateral bisect each other a...

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  3. (Pythagoras’s Theorem) Prove by vector method that in a right angle...

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  4. Prove by vector method that the sum of the square of the diagonals ...

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  5. prove using vectors: The quadrilateral obtained by joining mid-poin...

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  6. Using analytical geometry, prove that the diagonals of a rhombus are ...

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  7. Prove that the diagonals of a rectangle are perpendicular if and on...

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  8. In A B C , A D is a median. Prove that A B^2+A C^2=2\ A D^2+2\ D C...

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  9. If the median to the base of a triangle is perpendicular to the bas...

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  10. In a quadrilateral A B C D , prove that A B^2+B C^2+C D^2+D A^2=A C^2+...

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  11. What is the angle between vectors vec a\ a n d\ vec b with magnitude...

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  12. If vec a\ a n d\ vec b are two vectors such that vec adot vec b=6,\...

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  13. Find the cosine of the angle between the vectors 4 hat i-3 hat j+3 hat...

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  14. If the vectors 3 hat i+m hat j+ hat k\ a n d\ 2 hat i- hat j-8 hat k a...

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  15. If the vectors 3 hat i-2 hat j-4 hat k\ a n d\ 18 hat i-12 hat j-m hat...

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  16. If vec a\ a n d\ vec b are vectors of equal magnitude, write the val...

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  17. If vec a\ a n d\ vec b are two vectors such that ( vec a+ vec b)dot(...

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  18. For any two vectors vec a\ a n d\ vec b write when | vec a+ vec b|=|...

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  19. For any two vectors vec a\ a n d\ vec b write then | vec a+ vec b|=|...

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  20. If vec a\ a n d\ vec b are two vectors of the same magnitude incline...

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