SOLUTION: Hello, I need help finding the length of a hypotenuse of an isosceles right triangle if each leg is 33cm long. Thank you

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Question 71932: Hello,
I need help finding the length of a hypotenuse of an isosceles right triangle if each leg is 33cm long.
Thank you
Found 2 solutions by stanbon, Earlsdon:
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
need help finding the length of a hypotenuse of an isosceles right triangle if each leg is 33cm
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Draw the picture making the legs of the triangle 33.
Use Pythagoras: hyp^2 = 33^2 + 33^2
hyp^2 = 2(33^2)
hyp = 33sqrt2
hyp=46.669...
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Cheers,
Stan H.

Answer by Earlsdon(6294) (Show Source):
You can put this solution on YOUR website!
You can use the Pythagorean theorem to solve this problem.
The Pythagorean theorem shows the relationship among the three sides of a right triangle as follows:
Where: c is the length of the hypotenuse (the side opposite the right angle), a and b are the lengths of the other two sides.
Using this theorem, if you know the lengths of any two sides of a right triangle, you can find the length of the third side. Let's apply this to your problem in which you need to find the length of the hypotenuse (side c) and you are given the lengths of sides a and b as 33 cm each:

Now take the square root of both sides to find c.

cm (Rounded to the nearest hundredth)