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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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