Question

Area of a rhombus is 50√3 sq.units . One of its diagonal is 10 units ,

then

a) Find the length of its other diagonal.

b) Using the diagonal property of rhombus and the concept of

Pythagoras thermos find the length of side of rhombus.

c) Find the perimeter of rhombus​

Answer 1

Answer:

a) 10√3 unit

b) 10 unit

c) 40 unit

Step-by-step explanation:

a) Area of rhombus = 1/2 ×d1 ×d2

50√3 unit ² = 1/2× 10 ×d2

50√3 unit ² = 5×d2

d2 = 10√3 unit

b) Diagonal intersect and bisects each other at 90°.

Side²= (10/2)²+(10√3)²

Side²= (5)²+(5√3)²

Side²= 25 +75

Side ²=100 unit²

Side =10 unit

c) Perimeter of rhombus

= 4× side

= 4x10 unit

= 40 unit