Are of triangle side 8cm,15cm,19cm
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Question :---- Find the Area of ∆ with sides 8cm, 15cm and 19cm.
Formula used :---
Triangle :--- is a plane figure with three straight sides and three angles.
→ Area of ∆ = √( s(s-a)(s-b)(s-c) ) [ where s = (a+b+c)/2 ]
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Solution :----
Given ,
→ a = 8cm
→ b = 15cm.
→ c = 19cm.
So,
→ Semi-Perimeter = (a+b+c/2)
→ s = (8+15+19)/2
→ s = 42/2
→ s = 21 cm.
Putting all values in above told formula now, we get,
→ Area of ∆ = √21*(21-8)*(21-15)*(21-19)
→ Area of ∆ = √21*13*6*2
→ Area of ∆ = √3*7*13*12
→ Area of ∆ = √36*91
→ Area of ∆ = 6√91 cm²
Hence, Area of ∆ will be 6√91 cm².
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