the area of rhombus is 84 cm^2 and one diagonal is 14 cm final the length of all diagonal
Answers
Answer:
Area of a rhombus = 84 sq m.
One diagonal of the rhombus = 24 m. (The other diagonal will intersect with this diagonal at angle 90 degrees, and as well bisect it into two equal parts).
Its other diagonal = ?
The two diagonals of a rhombus typically divide it into four equal right-angled triangles.
Since the area of the rhombus is 84 sq m. , the area of each right-angled triangle of the rhombus = 84/4 = 21 sq m.
To find the adjacent side of each right-angled triangle of the rhombus:
Area of a triangle = 1/2 * b * h
h = 24/2 =12
21 = 1/2 * b * 12
b = 21/6
b = 3.5 sq m.
To find each side of the rhombus
height = 12
adjacent = 3.5
hypotenuse = ?
Using the Pythagoras method:
c^2 = a^2 + b^2
= 12^2 + 3.5^2
= 144 + 12.25
= 156.25
c = (156.25)^ 0.5
= 12.5 m
Answer:
12.5 cm
Step-by-step explanation:
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