Question

In one side of a rhombus is a and one diagonal is d1 then its area will be

Answer 1

Answer:

formula of rhombus=1/2*D1*D2

Putting the values

1st side =a

2nd side=d1

So,Area will be 1\2*a*d1

Answer 2

Answer:

d1 √(a² - d1²/4)

Step-by-step explanation:

Diagonals of rhombus are perpendicular.

Consider 2 diagonals as d1 and d2 respectively. Side of rhombus is a.

(d1/2)² + (d2/2)² = a²

∴ d2²/4 = a² - d1²/4

∴ d2 = 2√(a² - d1²/4) -- (1)

Area of rhombus = 1/2 d1 . d2

From 1 we get,

Area of rhombus = d1 √(a² - d1²/4)