Explanation:
a=8cm
b=15cm
c=17cm
s=a+b+c/2
=8+15+17/2
=40/2
=20
Using heron's formula,
ar. of triangle= √s(s-a)(s-b)(s-c)
=√20(20-8)(20-15)(20-17)
=√20×12×5×3
=√2×2×5×2×2×3×5×3
=2×2×3×5
=60cm²
On side 17cm,
Ar. of triangle=1/2×b×h
60=1/2×17×h
∴h=60×2/17
=7.05 cm
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