S4. Construct a right-angled isosceles triangle whose
equal sides measure 2 cm.
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Answer:
In an isosceles right angled triangle, the two sides on the right angle are equal
Let the equal side be a
Hence, hypotenuse of the isosceles right angled triangle of side a=
a
2
+a
2
=
2
a
Given, hypotenuse of the triangle =6
2
cm
2
a=6
2
cm
a=6cm
In the isosceles right triangle, the base and height =a
Hence, area of the triangle =
2
1
×base×height=
2
1
×6×6=18 sq cm
solution
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