Question

find the area of a triangle whose sides are 8cm,11cm,and 13cm.hence find the altitude to the longest side?​

Answer 1

by herons formula

area =√s(s-a)(s-b)(s-c)

s = 8+11+13/2=32/2=16

area=√16×(16-8)(16-11)(16-13)

area=√16×8×5×3

area =√2×8×8×5×3

area=8√30cm

longest side is 13

area = 1/2×b×h

8√30=1/2×13×h

2×8√30=13×h

16√30=13×h

16√30/13=h

h=16√30/13or 1.2√30

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