The perimeter of a rhombus is 146 and one of its diagonals is 55 CM find the length of the Other diagonal and area of the Rhombus
Answers
Answered by
55
Firstly.. side of rhombus..
4×side=146
Side= 36.5cm
Now..
By applying Pythagoras theorem in one of the triangle formed by joining two diagonals..
36.5 square = 27.5 square + half diagonal . square
1332.25 - 756.25 = half diagonal's square
24 = half diagonal
So.. Second diagonal = 24×2
48m
Now..
Area of rhombus = 1/2 × d1 × d2
= 1/2 × 55 × 48
= 1320 cm square..
4×side=146
Side= 36.5cm
Now..
By applying Pythagoras theorem in one of the triangle formed by joining two diagonals..
36.5 square = 27.5 square + half diagonal . square
1332.25 - 756.25 = half diagonal's square
24 = half diagonal
So.. Second diagonal = 24×2
48m
Now..
Area of rhombus = 1/2 × d1 × d2
= 1/2 × 55 × 48
= 1320 cm square..
Similar questions