Question

I NEED ANSWER ASAP! I WILL GIVE BRAINELIEST!!!!!! Construct a right triangle whose legs are in the ratio 3:4. What are the ratios of each leg to the hypotenuse? I NEED IN RATIO FORM PLZ HELP!!!!!!!​

Answer 1

3 : 5, 4: 5

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:

`{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 \\ (3x)/(5x) = 3 : 5 \\ \\ (4x)/(5x) = 4 : 5`