SOLUTION: a triangle has a hypotenuse of 50
the other sides of the triangle have the ratio of 16:9
what are the lengths of the sides of the triangle
Algebra.Com
Question 258855: a triangle has a hypotenuse of 50
the other sides of the triangle have the ratio of 16:9
what are the lengths of the sides of the triangle
Answer by Stitch(470) (Show Source): You can put this solution on YOUR website!
The formula for the sides of a triangle is Where C is the hypotenuse.
In your case the two sides have a ratio to each other that is equal to 16:9 so we will modify the equation a little.
The new equation:
Now we know that C = 50
Now we can simplify this equation by squaring the terms
The left side can be rewritten by dividing X^2 out of it
Simplify
Divide both sides by 337
Note that from here on out I will be rounding so the numbers may not be exact
Then take the square root of both sides
Now we have to go back to the ratio that was given at the start of the problem
16:9
A = 16 * 2.724
B = 9 * 2.724
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Checking the answers
Plug the calculated values back into the triagle equation
Notice the answer is off slightly due to rounding
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