Question

TX is the perpendicular bisector of Su. What is the length of SU?

Answer 1

Answer:

$SU = 20$

Step-by-step explanation:

Given

Triangle TSU

Bisector TX

Required

Length of SU

A line is said to be a perpendicular bisector if and only if it divides a line segment into two equal lengths;

This means that line TX divides line SU into two equal part.

This implies that

$SU = SX + UX$

and

$SX = UX$

Substitute $SX = UX$; The expression becomes

$SU = UX + UX$

Recall that $UX = 10$;

So, the above expression becomes

$SU = 10 + 10$

$SU = 20$

Hence, the length of is 20