In the figure below, find the length of #bar(RS)# if #bar(XY)# is a perpendicular bisector of #bar(TS)# and #TR = "15 cm"#?

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1 Answer
Truong-Son N.
Jul 1, 2018

#"15 cm"#.

If #bar(XY)# perpendicularly bisects #bar(TS)#, it is perpendicular, meaning it is at a #90^@# angle to #bar(TS)#, and if it bisects, it divides in two. But if #bar(XY)# bisects #bar(TS)# at a #90^@# angle, then #bar(XY)# is also divided in two.

Therefore, the length of #bar(RS)# is equal to the length of #bar(RX)#, #bar(TR)#, and #bar(RY)#.

As a result, if #bar(TR)# is #"15 cm"# long, then the length of #bar(RS)# is also #"15 cm"#.

CHALLENGE: What about the length of #bar(XY)#? What would that be?

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