SOLUTION: Regarding a triangle which has a 90 degree angle...is there a simple formula to take a given diagonal dimension (hypotenuse) and a constant vertical / horizontal dimension relation

Question 309694: Regarding a triangle which has a 90 degree angle...is there a simple formula to take a given diagonal dimension (hypotenuse) and a constant vertical / horizontal dimension relationship (16:9), and determine the vertical / horizontal dimensions from a given diagonal dimension. For example, if I use the basic 16 horizontal dimension, and the basic 9 vertical dimension, the hypotenuse will be 18.357...
Hence, working in reverse, what would be the formula I could use to plug in a given hypotenuse (20, 22, 23, 24, 25, 50, 100, etc. and using the non variable 16:9 ratio, come up with the vertical and horizontal dimensions?
I hope I did OK with making my question clear.
Thanks.
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

for your long dimension and

for your short dimension

Where

is your variable screen diagonal
RELATED QUESTIONS
need to find the hypotenuse of a triangle. It has a 15, 90 and 85 degree angle. One... (answered by Theo)

Is there a way to calculate leg a or b from the hypotenuse and the 90degree angle of a... (answered by josgarithmetic)

how do i find a side of a triangle that has only the hypotenuse and a 90 degree angle (answered by fractalier,rothauserc)

if a 30-60-90 triangle has a hypotenuse of 13 what is the length of the side opposite the (answered by Alan3354)

the hypotenuse of a 30-60-90 triangle has lenght 13. what is the lenghth of the side... (answered by MathLover1)

I'm given a 90 degree triangle,and the short leg is 6 inches. The hypotenuse is labelled... (answered by ewatrrr)

a right angled triangle has an angle 90 degree and another is seventy degree what is... (answered by macston)

Please I need help with this Question using Pythagorean theorem and expressing my answer... (answered by rajagopalan,tanimachatterjee)

A triangle has a hypotenuse of 36 inches, it has a right angle opposite the hypotenuse,... (answered by ankor@dixie-net.com)