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 = [tex]\sqrt{50}[/tex]
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:
[tex]Length\,\,of\,\,leg:\frac{\sqrt{50} }{\sqrt{2} } \\Length\,\,of\,\,leg:5[/tex]
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 [tex]\sqrt{3}[/tex]
The shorter leg = [tex]\frac{\sqrt{50} }{2}= 3.53[/tex]
The other leg (larger) = [tex]3.53\times \sqrt{3} =6.11[/tex]
