the length of the sides of a triangle are 33 cm 44 cm and 55 CM respectively find the area of the triangle and hence find the height corresponding of the side measuring 44 cm
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Step-by-step explanation:
semiperimeter = (33 + 44 + 55)/2
= 66 cm
use hero's formula ,
area of triangle =root {66 (66- 33)(66-44)(66-55)}
=root {66 x 33 x 22 x 11 }
=11 x 11 x 6 = 121 x 6 = 726 cm^2
area of triangle = 1/2 height x base
726 = 1/2 height x 44
height = 726/22 =33 cm
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