Saved Bookmarks
| 1. |
JKLM is a trapezium where JK II ML. If the diagonals MK and JL intersect each other at N, then the value of MK x NL is always equal to |
|
Answer» Given : JKLM is a trapezium where JK || ML. If the DIAGONALS MK and JL intersect each other at N, To Find : value of MK × NL is always equal to Solution: Comparing ΔMNL with ΔKNJ ∠MNL = ∠KNJ ( vertically opposite angles) ∠NML = ∠NKJ ( alternate interior angles) ∠NLM = ∠NJK ( alternate interior angles) => ΔMNL ≈ ΔKNJ (AAA Similarity criteria) => MN/KN = NL/NJ => NL * NK = MN * NJ => NL * ( MK - MN) = MN * NJ => NL * MK - NL * MN = MN * NJ => NL * MK = MN * NJ + MN * NL => NL * MK = MN ( NJ + NL ) => NL * MK = MN ( JL) => NL * MK = MN * JL => MK * NL = MN * JL MK * NL = MN * JL Learn more; The diagonals of a trapezium intersect at point a the ratio of the ... 17. A trapezium ABCD has sides AB and DC parallelA STRAIGHT line ... |
|