Question
If the side of a rhombus is 6 cm and its one diagonal is 8 cm. Find the area of the rhombus in cm2.
Answer: Option C
:
C
Side of the rhombus = 6 cm
One of the diagonal = 8 cm
Semi perimeter of the triangle containing the diagonal = (6+6+8)2 = 10 cm
Area of the triangle containing the diagonal =√s(s−a)(s−b)(s−c)
= √10(10−6)(10−6)(10−8)
= √10×4×4×2
= √2×5×4×4×2
⇒8√5cm2
Area of rhombus = 2 (Area of the triangle containing the diagonal)
Area of the rhombus = 2×8√5 = 16√5cm2
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:
C
Side of the rhombus = 6 cm
One of the diagonal = 8 cm
Semi perimeter of the triangle containing the diagonal = (6+6+8)2 = 10 cm
Area of the triangle containing the diagonal =√s(s−a)(s−b)(s−c)
= √10(10−6)(10−6)(10−8)
= √10×4×4×2
= √2×5×4×4×2
⇒8√5cm2
Area of rhombus = 2 (Area of the triangle containing the diagonal)
Area of the rhombus = 2×8√5 = 16√5cm2
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