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Angle A ,\ B ,\ C of a triangle A B C ar...

Angle `A ,\ B ,\ C` of a triangle `A B C` are equal to each other. Prove that ` A B C` is equilateral.

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To prove that triangle ABC is equilateral given that angles A, B, and C are equal, we can follow these steps: ### Step 1: State the Given Information We are given that: - Angle A = Angle B = Angle C ### Step 2: Use the Property of Angles in a Triangle Since the sum of the angles in any triangle is 180 degrees, we can write: ...
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RD SHARMA-CONGRUENT TRIANGLE -All Questions
  1. P is a point on the bisector of an angle /A B Cdot If the line throu...

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  2. Prove that each angle of an equilateral triangle is 60^0

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  3. Angle A ,\ B ,\ C of a triangle A B C are equal to each other. Prove...

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  4. A B C is a triangle in which /B=2/CdotD is a point on B C such that A ...

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  5. A B C is a right angled triangle in which /A=90^0a n d\ A B=A Cdot F...

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  6. In Figure, it is given that A B=C D\ a n d\ A D=B Cdot Prove that A...

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  7. A B C D is a parallelogram, if the two diagonals are equal, find the...

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  8. If two isosceles triangles have a common base, prove that the line j...

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  9. A B C\ a n d\ D B C are two isosceles triangles on the same bas B C...

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  10. A B C\ a n d\ D B C are two isosceles triangles on the same bas B C...

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  11. A point O is taken inside an equilateral four sided figure A B C D suc...

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  12. In Figure, two sides A B\ a n d\ B C and the median A D\ of A B C ar...

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  13. In the figure AD = BC and BD = CA. Prove that ∠ADB=∠BCA and ∠DAB=∠CBA

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  14. In figure, AB = AC, D is the point in the interior of ABC such that DB...

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  15. In Figure, it is given that A B=C D\ a n d\ A D=B Cdot Prove that A...

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  16. In A P Q R , if P Q=P Q\ a n d\ L ,\ M\ a n d\ N are the mid-points o...

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  17. A D ,\ B E\ a n d\ C F , the altitudes of A B C are equal. Prove that...

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  18. In Figure, it is given that L M=M N ,\ Q M=M R ,\ M L\ |P Q\ a n d\ ...

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  19. If A B C is an isosceles triangle such that A B=A C and A D is an alti...

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  20. P is a point equidistant from two lines l and m intersecting at poin...

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