The sides of a triangle are 11cm,60cm,61cm. find the altitude of the smallest side Using heron formula
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the sides of a triangle are 11 cm 60 cm and 61 cm find the altitude of smallest side using heron formula=0
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HELLO MATE
HERE IS YOUR ANSWER
SIDES OF TRIANGLE = 11 cm , 60 cm , 61 cm
PERIMETER = 11 cm + 60 cm + 61 cm
= 132 cm
SEMIPERIMETER = 132 cm / 2
= 66 cm.
AREA OF TRIANGLE = √ s ( s - a ) ( s - b ) ( s - c )
= √ 66 ( 66 - 11 ) ( 66 - 60 ) ( 66 - 61 )
= √ 66 * 55 * 6 * 5
= √ 108900
= 330 cm²
AREA OF TRIANGLE = 1 / 2 * B * H
330 cm² = 1 / 2 * 11 * H
H = 330 * 2 / 11
H = 30 * 2
H = 60 cm
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