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Two mutually perpendicular straight line...

Two mutually perpendicular straight lines through the origin from an isosceles triangle with the line `2x + y = 5`. Then the area of the triangle is

Text Solution

Verified by Experts

`AD=|(0+0-5)/sqrt(2^2+1^2)|=5/sqrt5=sqrt5`
in `/_ABD`
`tan 45^o=(AD)/(BD)=sqrt5/(BD)=1`
BD=`sqrt5`
so,
DC=`sqrt5`
BC=DC+`sqrt5`
BC=`sqrt5+sqrt5`
BC=`2sqrt5`
...
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