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B D and C E are bisectors of /B and /C o...

`B D` and `C E` are bisectors of `/_B` and `/_C` of an isosceles ` A B C` with `A B=A Cdot` Prove that `B D=C Edot`

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`In /_ABC`
`/_1+/_2+/_3=180^@-(1)`
`/_3+/_4=180^@-(2)`
from equation 1 and 2
`/_1+/_2+/_3=/_3+/_4`
`/_1+/_2=/_4`
`/_CAB+/_CBA=/_ACD`.
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RD SHARMA ENGLISH-CONGRUENT TRIANGLE -All Questions
  1. ABC is an isosceles triangle in which A B""=" "A C . Side BA is pr...

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  2. If any two angles and a non-included side of one triangle are equal ...

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  3. B D and C E are bisectors of /B and /C of an isosceles A B C with A B...

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  4. Two lines A B and C D intersect at O such that B C is equal and parall...

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  5. In Figure, A C=B C ,/D C A=/E C B and /D B C=/E A Cdot Prove that tria...

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  6. If the bisector of the vertical angle of a triangle bisects the base...

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  7. In an isosceles triangle altitude from the vertex bisects the base....

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  8. If the altitude from one vertex of a triangle bisects the opposite ...

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  9. Angles opposite to two equal sides of a triangle are equal. GIVEN :...

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  10. Prove that the perimeter of a triangle is greater than the sum of i...

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  11. In A B C , side A B is produced to D so that B D=b cdot If /B=60^0 an...

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

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  13. In Figure, P Q R S is a quadrilateral in which diagonals P R and Q S i...

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  14. GIVEN : P Q R S is a quadrilateral. P Q is its longest side and R S ...

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  15. In Figure, A B and CD are respectively the smallest and longest side...

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  16. Of all the line segments drawn from a point P to a line m not containi...

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  17. In Figure, A D is a median and B L ,C M are perpendiculars drawn from ...

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  18. In Figure, B M and D N are both perpendiculars to the segments A C and...

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  19. If A B C is an isosceles triangle with A B=A C . Prove that the ...

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  20. If the altitudes from two vertices of a triangle to the opposite si...

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