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drawn from origin are two mutually perpendicular straight lines forming an isosceles triangle together with th straight line 2x+y=a. then the area of the triangle is in terms of 'a'? (A)a 2 /2 (B)a 2 /3 (C)a 2 /5 (D) none

drawn from origin are two mutually perpendicular straight lines forming an isosceles triangle together with th straight line 2x+y=a. then the area of the triangle is in terms of 'a'? 


(A)a2/2


(B)a2/3


(C)a2/5


(D)none


 

Grade:12

2 Answers

Badiuddin askIITians.ismu Expert
147 Points
11 years ago

Dear tejas

length of perpendicular on the line 2x+y=a from the origin is


L = |a|/√5

we know that in right angle triangle mid point of hypotnous is  equidistance from all the vertex.

so length of the base = 2L

so area  = 1/2 *L *2L

             =L2 = a2/5

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Arnav jain
20 Points
5 years ago
Can you please tell the rough figure for this question with proper labelling of sides as i am not able to get it

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