1.

Euclid has a triangle in mind. Its longest side has length 20 and another of its sides has length 10. Its area is 80. What is the exact)ength of its third side?

Answer»

`sqrt260`
`sqrt250`
`sqrt240`
`sqrt270`

Solution :
LET attitude of `DELTA ADC` be h and third SIDE be x
Then, AREA of triangle `=80=1/2xx10xxhrArrh=16`
So, using Phythagorous theorem
`AB=sqrt(400-256)=12`
`rArr BC=2`
`:. X=sqrt(4+256)=sqrt260`


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