Question

In the co-ordinate of A & B is -3 & 7 resp. then find d(AB).​

Answer 1

Answer:

Here, ABCD is a rhombus.

⇒ AC=AB [ Given ]

⇒ AB=BC=CD=DA [ Sides of rhombus are equal ]

∴ AB=BC=CD=DA=AC

In △ACD,

⇒ AC=CD=DA

∴ △ACD is an equilateral triangle.

∴ ∠D=60

o

[ Angle of an equilateral triangle ]

We know that rhombus is also a parallelogram,

⇒ ∠D+∠A=180

o

[ Sum of adjacent angles of a parallelogram is 180

o

]

⇒ 60

o

+∠A=180

o

∴ ∠D=120

o

∴ ∠BAD=120