Question

An umbrella is made by stitching 10 triangular pieces of cloths of two different
colours, each piece measuring 20 cm, 50 cm, 50 cm. How much cloth of each colour
required for umbrella? Radha distributed 20 such umbrellas to poor children during
rainy season. Which value is depicted by Radha?​

Answer 1

Step-by-step explanation:

There are 10 triangles,

5 triangles of blue color

and 5 triangles of grey color

Area of each cloth = 5 x (Area of 1 triangle)

Area of triangle

20 cm

Area of triangle = √√s(s-a)(sb)(s - c)

Here, s is the semi-perimeter, and a, b, c are the sides of the triangle 50 cm,b= 20 cm, c = 50 cm

a+b+c S=

2

50+20+50

120 2

50 cm

= 60 cm

20 cm

Area of triangle = √√s(sa)(sb)(sc) Area of triangle= sqrt 60(60-50)(60-20)(60-50) cm^ 2

= √60x (10)x(40)×(10)

=√(6) × (4)×(10¹)

=√ (6) × (2²)×(10¹)

= √6 x √2² x √104

= √6 x 2 x 10²

= 200 √6 cm²

Thus,

Area of triangle =

200√6 cm²

Area of each cloth required

= 5 x Area of triangle

= (5 x 200√6) cm²

= 1000√6 cm²