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CDS Model Paper 5 Mathematics
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© examsnet.com
Question : 51
Total: 100
In an isosceles right angled triangle, the perimeter is 20 metre. Find its area.
100
(
3
−
2
√
2
)
m
2
150
(
5
−
√
3
)
m
2
500
m
2
None of these
Validate
Solution:
Perimeter of triangle
=
a
+
a
+
√
2
a
=
20
m
a
(
2
+
√
2
)
=
20
a
=
20
2
+
√
2
×
(
2
−
√
2
)
(
2
−
√
2
)
=
10
(
2
−
√
2
)
m
Area of triangle
=
1
2
×
a
×
a
=
1
2
×
10
(
2
−
√
2
)
×
10
(
2
−
√
2
)
=
50
(
4
+
2
−
4
√
2
)
=
100
(
3
−
2
√
2
)
m
2
© examsnet.com
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