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

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Show that in a right triangle the hypotenuse is the longest side.GIVEN : A right triangle ABC in which /_ABC=90^(@). TO PROVE : Hypotenuse AC is the longest side,i.e.AC>AB( ii) AC>BC

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

The maximum area of a right angled triangle with hypotenuse h is

(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.

(Pythagorass 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.

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

Show that the sides 5cm,12cm and 13cm make a right angled triangle.Find the length of the altitude on the longest side

Fill in the blanks . (a) Each angle of an equilateral triangle measures ………….. (b) Medians of an equilateral triangle are …… (c) In a right triangle, the hypotenuse is the ……. Side.

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

RD SHARMA-CONGRUENT TRIANGLE -All Questions
  1. If D is any point on the base B C produced, of an isosceles tria...

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  2. In Figure, if A D is the bisector of L A , show that: A B > B D (ii) ...

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

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  4. In Figure, A C > A B and A D is the bisector of L A . Show that A D C ...

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  5. Show that the sum of the three altitudes of a triangle is less than...

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  6. Prove that any two sides of a triangle are together greater than twi...

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  7. Prove that the perimeter of a triangle is greater than the sum of it...

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  8. Show that the difference of any two sides of a triangle is less than...

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  9. In Figure, P Q R is a triangle and S is any point in its interior, s...

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  10. In P Q R , S is any point on the side Q R . Show that P Q+Q R+R P >...

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  11. In Figure, A P\ |l\ a n d\ P R > P Q . Show that A R > A Q Given: A P...

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  12. In Figure, P Q R S is a quadrilateral. P Q is its longest side and R...

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  13. In Figure, P Q R S is a quadrilateral in which diagonals P R\ a n d\...

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  14. Of all the lines segments drawn from a point P to a line m not conta...

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  15. In Figure, /E >/A\ a n d\ /C >/D . Prove that A D > E C

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  16. In Figure, T is a point on side Q R of P Q R and S is a point such th...

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  17. In Figure, A C > A B\ a n d\ D is the point on A C such that A B=A Ddo...

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  18. In Figure, A B\ a n d\ C D are respectively the smallest and longest...

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  19. In A B C , if /A=40^0a n d\ /B=60^0dot Determine the longest and sh...

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  20. In a A B C , if /B=/C=45^0, which is the longest side?

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