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If two isosceles triangles have a common...

If two isosceles triangles have a common base, prove that the line joining their vertices bisects them at right angles.

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To prove that the line joining the vertices of two isosceles triangles with a common base bisects the base at right angles, we can follow these steps: ### Step-by-Step Solution: 1. **Draw the Isosceles Triangles**: Let triangles ABC and ADC be two isosceles triangles with a common base BC. Here, AB = AC and AD = AC (since both triangles are isosceles). 2. **Identify the Midpoint**: ...
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RD SHARMA ENGLISH-CONGRUENT TRIANGLE -All Questions
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  2. In Delta P Q R , if P Q=Q R and L ,M and N are the mid...

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

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  4. Side Side Side(SSS) Congruence : Two triangles are congruent if the th...

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

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

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  7. A B C is a triangle in which /B =2 /CdotD is a point on B C s...

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  8. In A B C ,\ /A=100^0a n d\ A B=A Cdot Find /B\ a n d\ /C

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  9. In Figure, A B=A C\ a n d\ /A C D=120^0dot Find /A

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

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  11. In Figure O is the mid-point of A B\ a n d\ C Ddot Prove that \ A O C...

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

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  13. In Figure, it is given that A E=A D\ a n d\ B D=C Edot Prove that A...

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  14. In ΔABC a n d\ Δ P Q R ,\ A B=P Q ,\ B C=Q R\ a n d\ C B\ a n d\ R Q...

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  15. In Figure, X ,\ Y\ are two points on equal sides A B\ a n d\ A C o...

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  16. Suppose line segments A B\ a n d\ C D intersect at O in such a way tha...

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  17. If D is the mid-point of the hypotenuse A C of a right triangle A B...

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  18. A B is a line segment and line l is its perpendicular bisector. If ...

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  19. In quadrilateral A C B D ,\ A C=A D\ a n d\ A B\ bisects /A . Show th...

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  20. Prove that A B C is isosceles if any one of the following holds: A...

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