SOLUTION: A right isosceles triangle has equal sides of d cm and sqrt(12+d) cm. Find the length of the hypotenuse in simplest radical form.

Algebra ->  Triangles -> SOLUTION: A right isosceles triangle has equal sides of d cm and sqrt(12+d) cm. Find the length of the hypotenuse in simplest radical form.       Log On


   

Question 1191597: A right isosceles triangle has equal sides of d cm and sqrt(12+d) cm. Find the length of the hypotenuse in simplest radical form.
Found 2 solutions by greenestamps, Alan3354:
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


Use the Pythagorean Theorem with legs d and hypotenuse sqrt%2812%2Bd%29:

d%5E2%2Bd%5E2=%28sqrt%2812%2Bd%29%29%5E2
2d%5E2=12%2Bd
2d%5E2-d-12=0

That quadratic does not factor in integers, leading to an ugly answer to the question. Since the rest of the problem is just laborious computation, I leave it to you to finish.

Or perhaps check the given information to see if you have shown it incorrectly, so that the answer turns out to be "nice"....

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
A right isosceles triangle has equal sides of d cm and sqrt(12+d) cm. Find the length of the hypotenuse in simplest radical form.
-------------
What is the length? Is it d cm? or sqrt(12+d) cm?