how many right angled triangles are possible such that their hypotenuse is 65 cm and are integral sides
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There are only 2 integral solutions for a right angles triangle with Hypotenuse 65,
One of the set is (16, 63,65) and another set is (33,56,65),
As you asked only integral solutions, These are the only possible sets, But there will be infinitely many solutions for Real and rational solutions !
These solutions can be solved by doing like this :
a² + b² = c²,
=> a² = c²-b²,
=>a² = (c+b)(c-b) Where c = 65, By doing this, we will get only 2 possible integral ways, and they are the above ones !
So therefore the answer to your question is, 2 possible integral solutions are present for Hyptenuse as 65 !
Hope you understand, Have a Great Day ! Merry Christmas !
Thanking you, Bunti 360 !
One of the set is (16, 63,65) and another set is (33,56,65),
As you asked only integral solutions, These are the only possible sets, But there will be infinitely many solutions for Real and rational solutions !
These solutions can be solved by doing like this :
a² + b² = c²,
=> a² = c²-b²,
=>a² = (c+b)(c-b) Where c = 65, By doing this, we will get only 2 possible integral ways, and they are the above ones !
So therefore the answer to your question is, 2 possible integral solutions are present for Hyptenuse as 65 !
Hope you understand, Have a Great Day ! Merry Christmas !
Thanking you, Bunti 360 !
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