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I am relatively new to the math forum, so I can be wrong about this one:)

We know that the sum of any two sides on the triangle must be greater than the third side. Therefore, we know that the sum of other two sides of this tringle has to be =10.
I came up with 2 integers that satisfy the condition.
One was with sides 4 & 6: the area of triangle would then be: (4*6)/2=12 and the other with sides 2 & 8: the area is then: (2*8)/2 = 8
Sides 10 & 0 are i think impossible, since the shape would no longer be a trinalge.

Since its a right angle triangel, it should also satisfy the pythogorous equation h^2 = p^2 + b^2

I think we should look for 6*sqrt3 or 7* sqrt 2 as the hypoteneous.

regards,

Amardeep

Ooops! Thanks for pointing this out! I solved the problem forgetting the fact that the triangle is right. Now I can't come up with any integers that would satisfy the property of this right traingle.

Since a+b= 9, there are only 4 possibilities to get an area that consists of an integer, i.e. 0.5x5x4 / 0.5x6x3 / 0.5x7x2 and 0.5x8x1, therefore (D) 4. cheers!

Just a suggestion
whenver some one post's such trivial questions, it would be nice if the person who initiated the post, post the answer too.
This way we discuss how the author derivied a particular answer. Now what's happening is, every body is posting his/her ideas & there is no way to know, what is correct & what's wrong.

Just a suggestion whenver some one post's such trivial questions, it would be nice if the person who initiated the post, post the answer too. This way we discuss how the author derivied a particular answer. Now what's happening is, every body is posting his/her ideas & there is no way to know, what is correct & what's wrong.

Just a thought !!

cheers

ms

Agree with your suggestion.
D is the correct answer here I think.

Just a suggestion whenver some one post's such trivial questions, it would be nice if the person who initiated the post, post the answer too. This way we discuss how the author derivied a particular answer. Now what's happening is, every body is posting his/her ideas & there is no way to know, what is correct & what's wrong.

Just a thought !!

cheers

ms

What makes you say that the question is trivial? Tennis-ball's solution is great- I said so myself. You need to judge the solutions posted on their own merits- this is part of the learning process!

Agreed... i was wrong.. in considering (a+b)/2 as area...
but in the above equation

is (a+b) > 9 ?? i.e sum of the other 2 sides greater than 3rd side ??
is'nt that a rule saying that sum of the 2 side should be greater than or equal to the third side
so solving the above