Answer:
The length of the other side= [tex]\sqrt{125}\,m[/tex]
Step-by-step explanation:
The length of the third side of a right angled triangle can be find by using the Pythagorean Theorem: i.e
[tex]Hypotenuse^2=Perpendicular^2+Base^2[/tex]
Hypotenuse of a right angled triangle is the longest side of it:
For , [tex]Hypotenuse=15\,m[/tex]
So ,
[tex]Hypotenuse^2=(Side_1)^2+(Side_2)^2[/tex]
For, [tex]Side_2=10\,m[/tex]
[tex]15^2=(Side_1)^2+10^2\\\\225=(Side_1)^2+100\\\\225-100=(Side_1)^2\\\\(Side_1)^2=125\\\\Side_1=\sqrt{125}\\[/tex]
