Question

on
A kite in the shape of a square with a diagonal 32
cm and an isosceles triangle of base 8 cm and
sides 6 cm each is to be made of three different
shades as shown in Fig. 12.17. How much paper
of each shade has been used in it?
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Answer 1

HEY MATE

As the diagonals of a square bisect each other at right angle

∴ AM = DM = 32/2 = 16 cm

Area of shade I = Area of shade II = Area of △ABD

= 1/2 x AD x BM = 1/2 x 32 x 16 = 256 cm2

For the area of shade III

Area of isosceles △DEF = a/4 - root under(√4b2 - a2)

= 8/4 root under(√4(6)2 - 82))

= 2 root under(√144 - 64) = 2√80 = 85 cm2

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