There is a slide in a park. One of its side walls has been painted in some colour with a message
"Keep the park clean and green". The sides of the wall are 11m, 15m and 6m.
find
1.The semi perimeter of the triangle
2.Area of the triangle is
3.Formula to find perimeter of the triangle
4.Formula to find area of the sidewall
5.Perimeter of the triangle
Answers
Given : There is a slide in a park. One of its side walls has been painted in some colour
The sides of the wall are 11m, 15m and 6m.
To Find : 1.The semi perimeter of the triangle
2.Area of the triangle is
3.Formula to find perimeter of the triangle
4.Formula to find area of the sidewall
5.Perimeter of the triangle
Solution:
s = (a + b + c)/2
a = 11
b = 15
c = 6
The semi perimeter of the triangle s = (11 + 15 + 6)/2
= ( 32)/2
= 16 m
Formula to find area of the sidewall is Heron formula = √s(s - a)(s - b)(s - c)
Area of the triangle = √16(16 - 11)(16 - 15)(16 - 6)
= √16(5)(1)(10)
= 20√2 m²
perimeter of the triangle = a + b + c
= 11 + 15 + 6
= 32 m
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