Answer:
The Unknown Length x is 11 cm.
Step-by-step explanation:
Given:
The triangle is right angled triangle.
length of hypotenuse = 61 cm
Length of one side = 60 cm
Length of other side = x cm
We need to find the value of 'x'.
Now Since the triangle is Right angled triangle.
By Pythagoras theorem which states:
"When a triangle is a right angled triangle the the square of the hypotenuse is equal to sum of other square of other two sides."
[tex]{\textrm{One side}}^2 + {\textrm{Other Side}}^2 = hypotenuse^2[/tex]
Substituting the values we get;
[tex]60^2+x^2=61^2\\\\x^2 =61^2-60^2 =121[/tex]
Now taking square root on both side we get;
[tex]\sqrt{x^2}=\sqrt{121} \\\\x =11\ cm[/tex]
Hence the Unknown Length x is 11 cm.
