question_answer

Fill in the blanks.

(i) In right triangles \[\Delta ABC\] and \[\Delta DEF,\] if hypotenuse AB = EF and side AC = DE, then \[\Delta ABC=\]P.

(ii) If \[\Delta ABC\] is obtuse angled at point B, then the longest side is Q.

(iii) Difference of any two sides of a triangle is R than the third side.

A)

P	Q	R
AEFD	BC	greater

B)       

P	Q	R
AEFD	AC	less

               

C)       

P	Q	R
ADEF	AB	less

               

D)       

P	Q	R
ADEF	AC	greater

Correct Answer: B

Solution :

          (i) in right angled triangle ACB and DEF. AB = EF                                   (given) AC = DE                                   (Given)  \[\therefore \]\[\Delta ABC\cong \Delta EFD\]          (RHS congruency) (ii) Obtuse angle is the greatest angle. \[\therefore \]Side opposite to \[\angle B\]i.e., AC (iii) Difference of any two sides of a triangle is less than the third side.