Question

if 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.......
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Answer 1

Answer:

BY = 7 cm

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

Answer 2

Answer:

the by is equal to 7cm

Step-by-step explanation:

it will more clear from this handwritten solution...

hope it may help you ..

have a good day