If you have 32 hypotenuse how do you find the lenght and height?

Answer 1

Answer #2:

You can not find the length and height with only the hypotenuse.

You must know one of them, in addition to the hypotenuse, in order

to find the other one.

Now, we turn you over to Answer #1, which is just about to begin:

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Answer #1:

leg2 + height2 = hypotenuse2 (we are talking for their length measures).

Let's denote by x the leg length measure, and y the height length measure. So we have:

x2 + y2 = 322 (subtract x from both sides)

y2 = 322 - x2 (square root to both sides)

y = √(322 - x2) (since the length measure is always positive) This is only true when

322 - x2 > 0 (add x2 to both sides)

322 > x2

32 > x or x < 32.

Thus we can say, 0 < leg length measure < 32. For any values of x in the required interval, you can find values for y.

Be careful, when you chose a value for x, because

32 + x > y and

32 - x < y

For example, if x = 16, then y = 27.712, and so on.