Question

An umbrella is made by stiching 8 triangular pieces of cloth. Each piece measuring 17 cm ,17cm,16cm .How much cloth is required for the umbrella ?​

Answer 1

Answer:

Given, an umbrella is made of 12 triangular pieces each of measure 50 cm, 20 cm, 50 cm.

To find area of cloth required we have to first find the area of one piece of cloth.

Semi perimeter, s==

2

Sumofsidesoftriangle

=

2

50+20+50

=60cm

Using heron's formula, Area of one triangular piece=

s(s−a)(s−b)(s−c)

=

60(60−50)(60−20)(60−50)

=

60×10×40×10

=200

6

cm

2

Area of 12 triangular pieces or area of cloth used= Area of one triangular piece × 12

=200

6

cm

2

×12

=2400

6

cm

2

Answer 2

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