The area of a rhombus having one side 10 cm and one diagonal 12 cm is ........

Quantitative Aptitude (CGL) Mensuration 3D

Download Solution PDF

The area of a rhombus having one side 10 cm and one diagonal 12 cm is

48 cm2

96 cm2

144 cm2

192 cm2

छोटे Courses बड़े Results

Master Mensuration 3D

Prepare through Micro-courses

Try Now

Explanation:

The diagonals in a rhombus are perpendicular , and bisect each other
Given length of side is 10 cm and one diagonal as 12 cm we can find the length of other diagonal
From the above figure let DB be the 12 cm diagonal,now OB and OD are 6 cm
Now consider triangle AOB ,this is a right andled triangle and we know AB=10cm and OB=6cm ,using Pythagoras theorem we can find out lenth of OA as 8cm ,so length of diagonal AC is 2*8=16cm
Area of rhombus is product of diagonal divided by 2, 16*12/2=96 sq.cm