one side of a triangle is 8cm and the angles on it's ends are 35° and 65°.Find the area of the triangle.(sin = 0.57°,sin 65° = .91,sin 80° = 0.98)
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According to the Heron's formula, Area (A) of the triangle having sides a,b,c units is
A=s(s−a)(s−b)(s−c)
where
s=2a+b+c
For the given triangle,
a=b=c=8cm
s=28+8+8=12
A=12(12−8)(12−8)(12−8)
A=3×4×43
=4×43
=163
Area of the triangle =21×base×altitude=163
21×8× altitude=163
Altitude =4163=43
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