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An umbrella is made by stitching 10 tria...

An umbrella is made by stitching 10 triangular pieces of cloth of two different colour, each piece measuring 20 cm, 50 cm and 50 cm. How much cloth of each colour is required for the umbrella?

A

`1000 sqrt6`

B

`2000 sqrt6`

C

`2500 sqrt6`

D

`1500 sqrt6`

Text Solution

Verified by Experts

The correct Answer is:
A
`s=(a+b+c)/2=60cm`
Heroes formula
area=`sqrt(s(s-a)(s-b)(s-c))`
=`sqrt(60(60-50)(60-50)(60-20))`
=`200sqrt6`
There are total `10` pieces First colour=`5xx200sqrt6=1000sqrt6`
Second color=`5*200sqrt6=1000sqrt6`
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