Elak
The ratio of the legs of a right triangle is 5 to 12. If the hypotenuse is 39, what is the area?



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ash2326
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@Elak Do you know Pythagoras?

Elak
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yes

ash2326
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Let's assume one leg as x then other will be 12x/5
Do you agree?

Elak
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:)) ok

Elak
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but why?

ash2326
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Let the other be y
\[\frac x y= \frac 5 {12}\]
Find y from this

Elak
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ok Y=5/12x :)

ash2326
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Now use the pythagoras to find x, Can you do that?

Elak
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ok sorry , 12x=5y
y=12x/5 :)

ash2326
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oops :( I had missed that

ash2326
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Could you find x?

Elak
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x^2+ (12x/5)^2= 39
isit right??? :((

ash2326
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39^2

ash2326
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@Elak Did you find x? it's easy

Elak
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x=15 ???

ash2326
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Yes, I think you can find the area now?

Elak
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yes, yhank you very muuuch :)))

ash2326
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you did everything :)

Elak
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but you help me, to think right ;)