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NDA Math Area Under the Curves
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© examsnet.com
Question : 9
Total: 27
A
24
c
m
long wire is bent to form a triangle with one of the angles as
60
∘
.
What is the altitude of the triangle having the greatest possible area?
[NDA-I 2021]
4
√
3
c
m
2
√
3
c
m
6
c
m
.
3
c
m
.
Validate
Solution:
👈: Video Solution
Concept:
The area of a triangle with a fixed perimeter is maximum when it is equilateral. Calculation: Using the property mentioned above, the area is maximum when the triangle is equilateral.
Height of the triangle
=
√
3
2
a
=
√
3
2
8
=
4
√
3
c
m
.
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