(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.You need to login to perform this action.
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