Find the area of a triangle whose sides are 20cm,21cm, and 13cm.Find the length of the altitude corresponding to the longest side.
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Given, sides of triangle 5 cm, 12 cm, 13 cm.
Now semi perimeter,
Using heron's formula,
Area of triangle
√s(s−a)(s−b)(s−c)
=√22.5(22.5−5)(22.5−12)(22.5−13)
=√22.5×17.5×10.5×9.5
Using altitude,
area of triangle =21× base × altitude
=21×13× altitude
=30
= altitude =1330×2
=4.61 cm
So, altitude corresponding to largest side is 4.61 cm.
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