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A B C is a triangle in which /B=2/CdotD ...

`A B C` is a triangle in which `/_B=2/_CdotD` is a point on `B C` such that `A D` bisects `/_B A C\ a n d\ A B=C Ddot` Prove that `/_B A C=72^@`

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To solve the problem, we will follow these steps: ### Step 1: Define the Angles Let angle C = y. According to the problem, angle B = 2y. Therefore, we can express the angles in terms of y: - Angle B = 2y - Angle C = y ### Step 2: Use the Angle Sum Property ...
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In Figure, A B C is a triangle in which /_B=2/_C . D is a point on side B C such that A D bisects /_B A C a n d A B=C DdotB E is the bisector of /_B . The measure of /_B A C is 72^0 (b) 73^0 (c) 74^0 (d) 96^0

ABC is a triangle in which /_B=2/_C*D is a point on BC such that AD bisects /_BAC and AB=CD. Prove that /_BAC=72^(@) .

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In Figure, A B C is an isosceles triangle in which A B=A CdotC P A B and A P is the bisector of exterior /_C A D of A B C . Prove that /_P A C=/_B C A and (ii) A B C P is a parallelogram.

A B C is a triangle in which D is the mid-point of B C and E is the mid-point of A Ddot Prove that area of B E D=1/4a r e aof A B Cdot GIVEN : A A B C ,D is the mid-point of B C and E is the mid-point of the median A Ddot TO PROVE : a r( B E D)=1/4a r( A B C)dot

A B C D is a parallelogram. E is a point on B A such that B E=2\ E A\ a n d\ F is a point on D C such that D F=2\ F Cdot Prove that A E\ C F is a parallelogram whose area is one third of the area of parallelogram A B\ C Ddot

A B C D is a parallelogram. P is a point on A D such that A P=1/3\ A D\ a n d\ Q is a point on B C such that: C Q=1/3B Cdot Prove that A Q C P is a parallelogram.

A B C is a triangle in which D is the mid-point of B C ,\ E\ a n d\ F are mid-points of D C\ a n d\ A E respectively. If area of A B C is 16\ c m^2, find the area of D E F

In a parallelogram A B C D , the bisector of /_A also bisects B C at Xdot Prove that A D=2A B

Let A B C be an isosceles triangle in which A B=A Cdot If D ,\ E ,\ F be the mid-points of the sides B C ,\ C A\ a n d\ A B respectively, show that the segemtn A D\ a n d\ E F bisect each other at right angles.

RD SHARMA-CONGRUENT TRIANGLE -All Questions
  1. Prove that each angle of an equilateral triangle is 60^0

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  20. A B C is a triangle and D is the mid-point of B C . The perpendiculars...

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