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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 A B C in which /_A B C=90^0dot TO PROVE : Hypotenuse A C is the longest side, i.e. (i) A C > A B (ii) A C > B C

In a right angled triangle, the hypotenuse is four times as long as the perpendicular drawn to it from the opposite vertex. One of the acute angle 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.

(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.

(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.

Find the largest possible area of a right angled triangle whose hypotenuse is 5cm long.

Find the largest possible area of a right angled triangle whose hypotenuse is 5 cm long.

Fill in the blanks to make the following statements true: In a right triangle the hypotenuse is the ...... side. The sum of three altitudes of a triangle is ......... than its perimeter. The sum of any two sides of a triangle is ......... than the third side. If two angles of a triangle are unequal, then the smaller angle has the ........... side opposite to it. Difference of any two sides of a triangle is ......... than the third side. If two sides of a triangle are unequal, then the larger side has ..... angle opposite to it.

Draw a right angled isosceles triangle whose hypotenuse is 5.2 cm long.

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RD SHARMA ENGLISH-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 / 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 tw...

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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.

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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 cont...

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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 longes...

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

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

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