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Heron’s Formula
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22/07/2021 10:50 am
Topic starter
There is a slide in a park. One of its side walls has been painted in some colour with a message “KEEP THE PARK GREEN AND CLEAN” (see Fig.). If the sides of the wall are 15 m, 11 m and 6 m, find the area painted in colour.
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22/07/2021 10:55 am
It is given that the sides of the wall as 15 m, 11 m and 6 m.
So, the semi perimeter of triangular wall (s) = (15 + 11 + 6)/2 m = 16 m
Using Heron’s formula,
Area of the message
= \(\sqrt{s(s - a)(s - b)(s - c)}\)
= \(\sqrt{16(16 - 15)(16 - 11)(16 - 6)m^2}\)
= \(\sqrt{16 \times 1 \times 5 \times 10}m^2\)
= \(\sqrt{800}m^2\)
= 20\(\sqrt{2}m^2\)