8. An umbrella is made by stitching 10 triangular pieces of cloth of two different colours
each piece measuring 20 cm, 50 cm and 50 cm.
(4 marks)
(a) What is the area of one triangular piece of cloth?
(b) What is the area of the cloth required for first colour?
(c) What is the area of the cloth required for second colour?
(d) Which Mathematical concept is used for finding the area?
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Answer:
Here a=50,b=50,c=20
The umbrella's figure consists of 5 triangle pieces
One triangle piece's Area =
s(s−a)(s−b)(s−c)
⇒2S=50+50+20
⇒S=
2
120
=60 cm
⇒A=
60(10)(10)(40)
=200
6
cm
2
Total Area =5×200
6
=1000
6
cm
2
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