A right triangle has a hypotenuse of square root of 50. What are possible lengths of the two legs of this triangle?

For 45-45-90 degree triangle

The length of other two legs: 5

For 30-60-90 degree triangle

The shorter leg= 3.53

The larger leg = 6.11

Step-by-step explanation:

length of Hypotenuse =

We need to find possible lengths of the two legs of this triangle.

If the triangle is 45-45-90 degree triangle the length of other two sides would be same and can be found by:

Since both legs are of same size so, length of other leg = 5

If the triangle is 30-60-90 degree triangle then:

To find shorter length: Divide hypotenuse by 2.

To find other side length: Multiply shorter length by

The shorter leg =

The other leg (larger) =

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step-by-step explanation: