Step-by-step explanation:
Solution
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Correct option is A)
In an isosceles right angled triangle, the two sides on the right angle are equal.
Let the equal sides be a.
Hence, hypotenuse of the isosceles right angled triangle =
a
2
+a
2
=
2
a
Given, perimeter of the triangle =(6+3
2
)m
⇒a+a+
2
a=(6+3
2
)m
⇒a(2+
2
)=3(2+
2
)m
⇒a=3m
In the isosceles right triangle, the base and height =a
Hence, area of the triangle =
2
1
×base×height =
2
1
×3×3=4.5m
2
