Q.No.8. AB and CD are respectively the smallest and longest sides of quadrilatera
ABCD. Show that ZA > ZC and ZB >-ZD
Answers
Answered by
3
Answer:
AB and CD are respectively the smallest and longest sides of a quadrilateral ABCD (see the given figure). Show that ZA > LC and ZB > ZD.
D
Given:
AB is the smallest side
CD is the longest side
.(1)
..(2)
To prove: ZA > LC & LB > ZD
Proof:
Join A & C, and mark the angles
In AABC, BC > AB
: 21> 22
(From (1)
(Angle opposite to the longer side is greater)
A
B
(From (2)
(Angle opposite to the longer side is greater)
3
1
In AADC, CD > AD .. 23 > 24
Similar questions