CBSE Class 8 Answered
if the area of a rhombus is 48cm^2 , and one of its diagonal is 5 cm . find its altitude
Asked by ramaysah12 | 12 Mar, 2016, 06:38: PM
Expert Answer
Given,
Area of Rhombus = 48 cm2
one diagonal = 5 cm
Area of a rhombus = = altitude × side
48 =
= d2
length of diagonal 2 = 19.2 cm
We know, diagonals of a rhombus are perpendicular and bisect each other.
So, according to Pythagoras theorem,
side2 =
=
= (2.5)2 + (9.6)2
= 6.25 + 92.16
= 98.41
side =
So, each side of the rhombus = 9.92 cm
altitude = area ÷ side
= 48 ÷ 9.92
= 4.83 cm
Hence, the height of the rhombus is 4.83 cm
Answered by Keravi Thanani | 05 Dec, 2017, 02:27: PM
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