Question

In the given figure, X is a point in the interior of a square ABCD, AXYZ is also a square. If DY = 4 cm and AD divides XY into equal parts, find BY.​

Answer 1

Answer:

by=7

Step-by-step explanation:

f x is a point in the interior of a square ABCD. axyz is also a square if DY= 3 cm and AZ is equal to 2 cm then b y equal to..

in ΔADZ  & ΔABX

∠AXB = ∠AZD = 90°  ( angle of square)  (∠AXB = 180 - ∠AXY)

∠ZAD = 90° - ∠DAX

∠BAX = 90° - ∠DAX

=> ∠ZAD = ∠BAX

if two angle of triangles are equal than third angle also be equal

ΔADZ  = ΔABX

AD/AB = BX/DZ = AX/AZ

AD = AB  ( sides of square)

AX = AZ (sides of square)

=> BX = DZ

DZ = DY +  YZ

=> DZ = 3 + 2   ( YZ = AZ = 2 cm, side of square)

=> DZ = 5 cm

BY = BX + XY

=> BY = DZ + XY

=> BY = 5 + 2   ( XY = AZ = 2 cm)

=> BY = 7 cm