Given:
Consider the below figure attached with this question.
The length of SR is 4 m in the length of ST is 8 m.
To find:
The length of PQ in meters.
Solution:
In the below figure,
[tex]PU=SR=4\ m[/tex]
[tex]QU=ST=8\ m[/tex]
Using Pythagoras theorem in triangle PQU, we get
[tex]PQ^2=PU^2+QU^2[/tex]
[tex]PQ^2=(4)^2+(8)^2[/tex]
[tex]PQ^2=16+64[/tex]
[tex]PQ^2=80[/tex]
Taking square root on both sides, we get
[tex]PQ=\sqrt{80}[/tex]
Therefore, the correct option is A.
