If one equal side of an isosceles right angled
triangle is v3, then its perimeter is
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Step-by-step explanation:
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
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