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In a quadrilateral A B C D , /B=90^o ,...

In a quadrilateral `A B C D` , `/_B=90^o` , `A D^2=A B^2+B C^2+C D^2` , prove that `/_A C D=90^o`

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In a quadrilateral A B C D ,\ \ /_B=90o . If A D^2=A B^2+B C^2+C D^2 then prove that /_A C D=90o .

In a quadrilateral A B C D , given that /_A+/_D=90o . Prove that A C^2+B D^2=A D^2+B C^2 .

In /_\ A B C , if A D_|_B C and A D^2=B DxxD C , prove that /_B A C=90dot .

In A B C , if B D_|_A C and B C^2=2\ A C C D , then prove that A B=A C .

If A B C D is a quadrilateral in which A B C D and A D=B C , prove that /_A = /_B .

In a quadrilateral A B C D ,C O and D O are the bisectors of /_C and /_D respectively. Prove that /_C O D=1/2(/_A+/_B)dot

In a quadrilateral A B C D , bisectors of angles A\ a n d\ B intersect at O such that /_A O B=75^0, then write the value of /_C+\ /_D

In a quadrilateral ABCD , CO and DO are the bisectors of /_C and /_D respectively. Prove that /_C O D=1/2(/_A+/_B)

In a quadrilateral A B C D ,A O and B O are the bisectors of A/_ and /_B respectively. Prove that /_A O B=1/2(/_C+/_D)dot

In a quadrilateral A B C D ,A O and B O are the bisectors of A/_ and /_B respectively. Prove that /_A O B=1/2(/_C+/_D)dot

RD SHARMA ENGLISH-TRIANGLES-All Questions
  1. In A B C , /A is obtuse, P B|A C and Q C|A B . Prove that: A BxxA ...

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  2. In a right A B C right-angled at C , if D is the mid-point of B...

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  3. In a quadrilateral A B C D , /B=90^o , A D^2=A B^2+B C^2+C D^2 , pro...

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  4. In an equilateral A B C , A D|B C , prove that A D^2=3\ B D^2

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  5. A B D is a right triangle right-angled at A and A C|B D . Show t...

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  6. A guy wire attached to a vertical pole of height 18m is 24m long an...

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  7. An aeroplane leaves an airport and flies due north at a speed of 10...

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  8. In each of the figures [4.222 (i)-(iv)] given below, a line segment...

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  9. In A B C , points P and Q are on C A and C B , respectively s...

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  10. In Figure, D E || C B . Determine A C and A E .

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  11. In Figure, given that /\ A B C ~ /\ P Q R and quad\ ABCD ~ quad\ PQRS...

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  12. In A B C , P and Q are points on sides A B and A C respectively s...

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  13. In each of the following figures, you find two triangles. Indicate ...

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  14. In /\ P Q R , M and N are points on sides P Q and P R respectively ...

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  15. In A B C , P and Q are points on sides A B and A C respectively s...

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  16. In Figure, /\ A M B ~ /\ C M D ; determine M D in terms of x ,\ y an...

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  17. In A B C , the bisector of /A intersects B C in D . If A B=18 c m ...

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  18. In Figure, l || m Name three pairs of similar triangles with proper ...

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  19. In Figure, A B || D C Prove that (i)/\ D M U ~ /\ B M V (ii) D Mxx...

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  20. A B C D is a trapezium in which A B D C . P and Q are points on...

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