the sides of a triangle are 25 cm,39cm,and 56cm,find the altitude of longest side.
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2
Answer:
Let a=25 m, b=39 m, c=56 m
We have, semi-perimeter, s=
2
a+b+c
s=
2
25+39+56
s=
2
120
=60 m
Area of triangle=
s(s−a)(s−b)(s−c)
=
60(60−25)(60−39)(60−56)
=
60(35)(21)(4)
=
176400
=420 m
2
Area of triangle=
2
1
bh, where b-base and h-height
base=greatestside=56 m
420=
2
1
(56)h
h=
56
840
h=15 m
Step-by-step explanation:
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