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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Given:
Diagonal =32cm , Base=8cm , side=6cm
⇒Area of square = 1/2 ×(d)² = 1/2 × (32)²
= 512cm²
⇒Area of shaded portion I = Area of shaded portion II
⇒ 512/2 = 256cm²
∴ Area of paper required = 256 cm²
⇒For triangle III region
⇒S = 6+6+8 / 2 = 10cm
⇒A= √s(s−a)(s−b)(s−c)
⇒Area = √10(10−6)(10−6)(10−8) = √10×4×4×2 cm²
⇒A = 4 × 2√5 cm² = 17.92 cm²
Area of paper required for III triangle shade = 17.92 cm²
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