Find the area of the Rhombus if it's vertices are (3,0) (4,5) (-1,4) and (-2,-1)
Answers
Step-by-step explanation:
Using distance formula find diagonal and then find area............................
Answer:
24 Sq units.
Step-by-step explanation:
Given, vertices of rhombus are
A(3,0) , B(4,5) , C(-1,4) and D(-2,-1)
Distance between two points
= √ (x2 - x1)^2 + (y2 - y1)^2
=> Length of diagona AC = √ (-1 - 3)^2 + (4 - 0)^2
=> d1 = √ (-4)^2 + (4)^2
= √16 + 16 = √ 16x2 = 4√2
=> Length of diagona BD = √ (-2 - 4)^2 + (-1 - 5)^2
=> d2 = √ (-6)^2 + (-6)^2
= √ 36 + 36 = √ 36x2 =6√2
Area of rhombus = 1/2 d1 x d2
= 1/2 4√2 x 6√2
= 1/2 24 x 2
= 24 Sq units.