The sides of a triangle are given as 11 cm,12 cm and 13 cm. Find the length of the altitude to the side 12 cm
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First we need to fid its area bye Heron formula.
A=11cm B=12cm C=13cm
S=(A+B+C)/2
S=(11+12+13)/2
S=36/2=18
Area=√[(S(S-A)(S-B)(S-C)]
⇒√[(18(18-11)(18-12)(18-13)]
⇒√(18×7×6×5)
⇒√3780
⇒61.48 cm²
Now take 12cm as base.
Area=1/2×b×h
61.48=1/2×12×h
61.48=6h
61.48/6=h
10.24 cm=h
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