Sides of a triangle are 11cm ,15cm,16cm.find altitude of the longest side.
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area=root of s(s-a)(s-b)(s-c)
s=11+15+16/2
=21cm
area=root of 21*(21-11)(21-15)(21-16)
=root of 21*10*6*5
=root of 7*3*5*2*3*2*5
=5*3*2root7
=30root7
area=1/2*b*h
b=16cm
30root7=1/2*16*h
h=30root7/8
=15root7/4
s=11+15+16/2
=21cm
area=root of 21*(21-11)(21-15)(21-16)
=root of 21*10*6*5
=root of 7*3*5*2*3*2*5
=5*3*2root7
=30root7
area=1/2*b*h
b=16cm
30root7=1/2*16*h
h=30root7/8
=15root7/4
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