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If A B C is an isosceles triangle wit...

If `A B C` is an isosceles triangle with `A B=A C` . Prove that the perpendiculars from the vertices `B` and `C` to their opposite sides are equal.

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To prove that the perpendiculars from vertices B and C to their opposite sides in the isosceles triangle ABC are equal, we will follow these steps: ### Step-by-Step Solution 1. **Given Information**: We have an isosceles triangle ABC where AB = AC. We need to prove that the perpendiculars from B to AC (let's call this BE) and from C to AB (let's call this CF) are equal. 2. **Draw Perpendiculars**: Draw the perpendiculars from points B and C to their opposite sides: - Draw BE perpendicular to AC. ...
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RD SHARMA ENGLISH-CONGRUENT TRIANGLE -All Questions
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  2. In Figure, B M and D N are both perpendiculars to the segments A C and...

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

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

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  5. A D and B C are equal perpendiculars to a line segment A B . Show that...

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  6. In A B C ,A B=A C , and the bisectors of angles B and C intersec...

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  7. In Figure, it is given that A B=E F ,B C=D E ,A B|B D and F E|C Edot P...

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  8. In Figure, it is given that A B=B C and A D=E C . Prove that A B E~=C ...

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  9. In Figure, l II m and M is the mid-point of the line segment A Bdot P...

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  10. In Figure, line l is the bisector of angle A and B is any point on l ....

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  11. In Figure, O is the mid point of A B and C D . Prove that (i) A O C~...

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

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  13. In Figure, it is given that A E=A D and B D=C Edot Prove that triangl...

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  14. In Figure, it is given that A B=C F ,E F=B D and /A F E=/C B Ddot Prov...

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  15. Two triangles are congruent if two sides and the included angle of ...

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  16. In DeltaABC ,/A=100^0 and A B=A Cdot Find /B and /C

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

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  18. In Figure, X and Y are two points on equal sides A B and A C of a A B ...

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  19. Prove that the angle between internal bisector of one base angle an...

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  20. In A B C and P Q R Figure, A B=P Q ,B C=Q R and C B and R Q are extend...

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