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JoinA to D Hence,AD∥BC /ACB=/CAD(alterna...

Join`A to D`
Hence,`AD∥BC`
`/_ACB=/_CAD`(alternateangle
`/_BAC=/_ACD`(alternateangle)
Hence`AB=AC` (by ASA congurency )so, it is isosceles triangle.

Text Solution

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Join`A to D`
Hence,`AD∥BC`
`/_ACB=/_CAD`(alternateangle
`/_BAC=/_ACD`(alternateangle)
Hence`AB=AC` (by ASA congurency )so, it is isosceles triangle.
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RD SHARMA-CONGRUENT TRIANGLE -All Questions
  1. In Figure, line segments A B is parallel to another line segment C...

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  2. In two right triangles one side an acute angle of one are equal to t...

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  3. JoinA to D Hence,AD∥BC /ACB=/CAD(alternateangle /BAC=/ACD(alternateang...

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  4. In an isosceles triangle, if the vertex angle is twice the sum of th...

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  5. P Q R is a triangle is which P Q=P R\ a n d\ S is any point on the s...

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  6. In a A B C , it is given that A B=A C and the bisectors of /B\ a n d\...

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  7. P is a point on the bisector of an angle /A B Cdot If the line throu...

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

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

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

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

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

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

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

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

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

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

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

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

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