Saved Bookmarks
| 1. |
Q4. In a Δ ABC, AB = AC and D is a point on side AC, such that BC-AC x CD. Prove= BC.L.Q.5) In Fig. 4, 2M = <M-46. Express x in terms of a, bwhere a, b and c are lengths of LM, MN and NKrespectivelyFig. 4 |
|
Answer» Two Triangles are said to be similar if theiri) corresponding angles are equal and ii) corresponding sides are proportional.(the ratio between the lengths of corresponding sides are equal) SOLUTION : GIVEN: ∠KNP =∠ KML = 46°LM = a , MN = b , NK = c In ∆KPN and ∆KLM, ∠ KNP = ∠KML = 46° [ given]∠ K = ∠ K [Common] ∆KPN ~ ∆KLM [by AA similarity criterion of triangles] KN/ KM = NP/ML [corresponding sides of similar triangles are proportional] c /(b+c) = x/a [KM = MN + NK]x(b+c) = c×a x = ac/ (b+c) Hence, the value of x = ac/(b+c) Like my answer if you find it useful! |
|