Q2 of 69 Page 250

The perimeter of an isosceles right- angled triangle having a as each of the equal sides is

It is given in the question that, equal sides of isosceles triangle is a

It is also given that, the given triangle is isosceles right-angled triangle


∴ AC =


AC =


AC =


AC = a


We know that,


Perimeter of triangle = Sum of all sides


∴ Perimeter = (AB + BC + AC)


= (a + a + a)


= 2a + a


= a (2 + )


Hence, option (b) is correct

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33

A kite in the shape of a square with each diagonal 32 cm and having a tail in the shape of an isosceles triangle of base 8cm and each side 6cm, is made of three different shades as shown in the figure. How much paper of each shade has been used in it?

[Given : = 2.24]


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Each side of an equilateral triangle is 8 cm. Its altitude is

 3

For an isosceles triangle having base = 12 cm and each of the equal sides equal to 10 cm, the height is

 4

Find the area of an equilateral triangle having each side 6cm.