An umbrella is made by stitching 12 triangular pieces of cloth, each measuring (50 cm x 20 cm x 50 cm). Find the area of the cloth used in it.

Question

Philoid · Accepted Answer

Let the sides of the triangle be,

a = 50 cm

b = 20 cm

And

C = 50 cm

Now, let us find the value of s:

s =

=

= 60 cm

We know that,

Area =

Area of one triangular piece of cloth =

=

= 10 × 10 × 2

= 200

= 200 × 2.45

= 490 cm²

Therefore,

Area of one piece of cloth = 490 cm²

Hence,

Area of 12 pieces of cloth = 12 × 490

= 5880 cm²