Question

find length of diagonals AC and BD given, AB= 60 cm and angle BAD = 60°​

Answer 1

in ∆ BAD

AB = AD

Angle ADB = Angle ABD

(because angle opposite to equal sides are equal)

let the angle as "x"

since ADB = ABD so

ADB + ABD = 2x

and Angle BAD = 60°

so sum of angle of a triangle

60° + x +x = 180°

2x = 180° - 60°

2x = 120°

x = 60°

this means that all angles are equal so all sides are also equal.

so

AD=DB=AB=60 cm

similarly

DC=CB=DB=60 cm

(since diagonals of a parallelogram are equal)

so diagonals are

60 cm and 60 cm

Answer 2

Answer:

please refer the attachment.