Question

attempt plplattempt742718cmid 910432 Resources - Find the missing values for the following similar figure SHOW your work for ered f 1 on A 6 B 5 D E 21 7 TBL. 0 . @ ні е O rch

Answer 1

Here basically we use the properties of two similar triangles.

A 6 9 5 21 D E Here BC l! ED. and the line DA cid these two parallel liner Theorem Now uring the Aldernate Exterior Angles Angle LADE = Angle LACB Similarly the angle LABC= LAED. Now Coneider two triangles A ADB and A A DE Hore LACB = LADE - LABC = L ALD. and LDAL = LAB therefore, these two triangles A ADB and AADE are &imilar.

eides are all in the Therefore connesponding same proportion. le AD AE DE CB AC AB Here we have Ac=y. AD=- 4+5. AB = 6 AL = 6+m, DE = 21, CB = 9 Therefore 4+5 6+n - 21 9 6 Now Consider 21 g 4+5 > 214 = 9 (yts) » TY = 3(4+5) >> Ty = 3y +15 → 44 = 15 y= 15 4

sostengu Now Coneider w+g alos Š 7 3 u+9 9. = ut9 7.2 > 6+1=14 n= 14-6 = 8 le n=8 Therefore the miering values y = 15 15 n=&,