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Prove that the sum of the three angles o...

Prove that the sum of the three angles of a triangle is `180^0dot`

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To prove that the sum of the three angles of a triangle is \(180^\circ\), we can follow these steps: ### Step-by-Step Solution: 1. **Draw Triangle**: Start by drawing a triangle \(ABC\). Label the angles as follows: - Angle at vertex \(A\) as \(\angle A\) - Angle at vertex \(B\) as \(\angle B\) - Angle at vertex \(C\) as \(\angle C\) ...
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Which of the following statements are true (T) and which are false (F): Sum of the three angles of a triangle is 180^0 A triangle can have two right angles. All the angles of a triangle can be less than 60^0 All the angles of a triangle can be greater than 60^0 All the angles of a triangle can be equal to 60^0 A triangle can have two obtuse angles. A triangle can have at most one obtuse angles. In one angle of a triangle is obtuse, then it cannot be a right angled triangle. An exterior angle of a triangle is less than either of its interior opposite angles. An exterior angle of a triangle is equal to the sum of the two interior opposite angles. An exterior angle of a triangle is greater than the opposite interior angles

RD SHARMA-CONGRUENT TRIANGLE -All Questions
  1. The sides B C ,C A and A B of a triangle A B C , are produced in or...

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  2. Prove that any two sides of a triangle are together greater than tw...

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  3. Prove that the sum of the three angles of a triangle is 180^0dot

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  4. In a A B C , if /A=50^@ and /B=60^@ , determine the shortest and larg...

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  5. Two parallel lines l and m are intersected by a transversal p (see F...

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  6. In Figure, sides L M and L N of L M N are extended to P and Q respect...

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  7. In a triangle A B C, /B=115^@,/C=40^@, Find /A

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  8. In Figure, P Q=P R . Show that P S > P Q

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  9. The sum of two equal angles of a triangle is equal to its third angl...

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  10. In Figure, A B > A Cdot Show that A B > A D

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  11. Of the three angles of a triangle, one is twice the smallest and an...

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  12. Prove that the perimeter of a triangle is greater than the sum of th...

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  13. If the angles of a triangle are in the ratio 2:3:4 . determine three a...

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

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  15. The sum of two angles of a triangle is 80^@ and their difference is 20...

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  16. A triangle A B C is an isosceles triangle if any one of the followin...

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  17. In a A B C , if 2/A=3/B=6/C , determine /A ,/B and /Cdot

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  18. In a right angled triangle, one acute angle is double the other. Pro...

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  19. The sides A B and A C of a A B C are produced to P and Q respectively....

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  20. In Figure, B D and C E are two altitudes of a A B C such that B D=C...

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