There is a slide in a park. Its side wall have been painted in green colour with a message to keep the park clean and green if the sides of the wall are 6m 11m and 15m find the area painted in green colour.
Answers
Given :-
- The sides of the walls are 15m, 11m and 6m.
To Find :-
- Find the area painted in color ?
Solution :-
we know that, area of a ∆ with sides as a, b and c is ,
- Area = √[s*(s - a)(s - b)(s - c)] where s is semi - perimeter.
- s = (a + b + c)/2 .
so,
→ s = (15 + 11 + 6)/2
→ s = 32/2 = 16 cm.
then,
→ Area of ∆ = √[16 * (16 - 15) * (16 - 11) * (16 - 6)]
→ Area = √[16 * 1 * 5 * 10]
→ Area = √(4² * 5² * 2)
→ Area = 4 * 5√2
→ Area = 20√2 m². (Ans.)
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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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