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RRB NTPC 2014 Paper
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© examsnet.com
Question : 55
Total: 100
A triangle is inscribed in a semicircle of radius R. What will be the perimeter of such a triangle which possesses the largest possible area?
3R
(
1
+
√
2
)
2
R
2
R
(
1
+
√
2
)
2
R
(
1
+
√
2
)
Validate
Solution:
(4) For largest area, diameter should be the base of the triangle and radius should be its height.
Triangle ABC is the required triangle.
A
B
=
A
C
=
√
2
R
So, the perimeter
=
√
2
R
+
√
2
R
+
2
R
=
2
R
+
2
√
2
=
2
R
(
1
+
√
2
)
© examsnet.com
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