Ncert Solutions for class 9 maths Herons Formula
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Step-by-step explanation:
☞︎︎︎ Given :
Side of equilateral △ = a units
⇒ a = b = c
↣ Now,
Formula
↣ Here,
a = a
b = a
c = a
Area of triangle
☆ Herons Formula
(derived Formula)
➢ Perimeter of board = 180cm
⇒ a + a + a = 180cm
⇒ 3a = 180cm
Transposing The Terms
⇒ area = 900√3cm²
Area = 901.73 cm²
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Answer:
For a quadrilateral, when one of its diagonal value and the sides are given, the area can be calculated by splitting the given quadrilateral into two triangles and use the Heron's formula. Example :A park, in the shape of a quadrilateral ABCD, has ∠C=90∘, AB = 9 cm, BC = 12 cm, CD = 5 cm and AD = 8 cm.
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