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Prove that in a quadrilateral the sum of...

Prove that in a quadrilateral the sum of all the sides is greater than the sum of its diagonals.

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`AB+BC+CD+DA>AC+BD`
`In /_ABC`
`AB+BC>AC-(1)`
`In /_ACD`
`AD+CD>AC-(2)`
`In /_ABD`
`AB+AD>BD-(3)`
`In /_BCD`
...
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RD SHARMA-CONGRUENT TRIANGLE -All Questions
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  2. Prove that the perimeter of a triangle is greater than the sum of it...

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  3. Prove that in a quadrilateral the sum of all the sides is greater t...

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  4. In Figure, prove that C D+D A+A B+B C >2A C C D+D A+A B+B C >2A C

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  5. Which of the following statements are true (T) and which are false ...

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  6. Fill in the blanks to make the following statements true: In a righ...

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  7. In two congruent triangles A B C\ a n d\ D E F , if A B=D E\ a n d\...

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  8. In two triangles A B C\ a n d\ D E F , it is given that /A=/D ,\ /B=/E...

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  9. If A B C\ a n d\ D E F are two triangles such that A C=2. 5\ c m ,\...

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  10. In two triangles A B C\ a n d\ A D C , if A B=A D\ a n d\ B C=C Ddot A...

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  11. In triangle A B C\ a n d\ C D E , if A C=C E ,\ B C=C D ,\ /A=60^0,\ /...

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  12. A B C is an isosceles triangle in which A B=A CdotB E\ a n d\ C F a...

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  13. Find the measure of each angle of an equilateral triangle.

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  14. C D E is an equilateral triangle formed on a side C D of a square A ...

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

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  16. In Figure, if A B=A C\ a n d\ /B=/Cdot Prove that B Q=C P

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  17. If A N C~= L K M , then side of L K M equal to side A C\ of A B C ...

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  18. If A B C\ ~= A C B , then A B C is isosceles with A B=A C (b) A B=B...

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  19. If A B C~= P Q R and A B C is not congruent to R P Q , then which o...

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  20. In triangles A B C\ a n d\ P Q R three equality relations between so...

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