Question

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

Answer 1

@Elak Do you know Pythagoras?

Answer 2

yes

Answer 3

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

Answer 4

:)) ok

Answer 5

but why?

Answer 6

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

Answer 7

ok Y=5/12x :)

Answer 8

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

Answer 9

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

Answer 10

oops :( I had missed that

Answer 11

Could you find x?

Answer 12

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

Answer 13

39^2

Answer 14

@Elak Did you find x? it's easy

Answer 15

x=15 ???

Answer 16

Yes, I think you can find the area now?

Answer 17

yes, yhank you very muuuch :)))

Answer 18

you did everything :)

Answer 19

but you help me, to think right ;)