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## Elak 2 years ago 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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1. ash2326

@Elak Do you know Pythagoras?

2. Elak

yes

3. ash2326

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

4. Elak

:)) ok

5. Elak

but why?

6. ash2326

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

7. Elak

ok Y=5/12x :)

8. ash2326

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

9. Elak

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

10. ash2326

oops :( I had missed that

11. ash2326

Could you find x?

12. Elak

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

13. ash2326

39^2

14. ash2326

@Elak Did you find x? it's easy

15. Elak

x=15 ???

16. ash2326

Yes, I think you can find the area now?

17. Elak

yes, yhank you very muuuch :)))

18. ash2326

you did everything :)

19. Elak

but you help me, to think right ;)

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