Answer:
3 : 5, 4: 5
Step-by-step explanation:
Let the common multiplier of the given ratios be x.
Therefore, lengths of the legs of right triangle would be 3x and 4x
By Pythagoras Theorem:
[tex] {hyp}^{2} = {(3x)}^{2} + {(4x)}^{2} \\ = 9 {x}^{2} + 16 {x}^{2} \\ = 25 {x}^{2} \\ hyp = \sqrt{25 {x}^{2} } \\ hyp = 5x \\ \\ ratios \: of each \: leg \: to \: the \: hypotenuse \\ \frac{3x}{5x} = 3 : 5 \\ \\ \frac{4x}{5x} = 4 : 5[/tex]
