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Is it possible to draw a triangle with sides of length `2c m ,\ 3c m\ a n d\ 7c m ?`

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To determine if a triangle can be formed with sides of lengths 2 cm, 3 cm, and 7 cm, we can use the triangle inequality theorem. This theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. ### Step-by-Step Solution: 1. **Identify the sides of the triangle**: - Let the sides be \( a = 2 \, \text{cm} \), \( b = 3 \, \text{cm} \), and \( c = 7 \, \text{cm} \). 2. **Apply the triangle inequality theorem**: ...
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RD SHARMA-CONGRUENT TRIANGLE -All Questions
  1. In a A B C , if /B=/C=45^0, which is the longest side?

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  2. In A B C , side A B is produced to D so that B D=B Cdot If /B=60^0\ a...

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  3. Is it possible to draw a triangle with sides of length 2c m ,\ 3c m\...

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  4. In A B C ,\ /B=35^0,/C=65^0 and the bisector of /B A C meets B C in P...

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  5. O is any point in the interior of A B Cdot Prove that A B+A C > O ...

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

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

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

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

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

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  13. 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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  14. 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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  15. 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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  16. A B C is an isosceles triangle in which A B=A CdotB E\ a n d\ C F a...

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

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

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

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

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