1.
Find the area of a triangle whose sides are 18
cm, 24 cm and 30 cm.
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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=18 cm
b=24 cm
c=30 cm
s=218+24+30=36
A=36(36−18)(36−24)(36−30)
A=36×18×12×6
A=216×216
=216 cm2
Smallest side =18 cm
Area of the triangle =21×base×altitude=216
21×18× altitude=216
Altitude =9216=24 cm
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