Question

Triangle XYZ below is an isosceles triangle with legs XY and ZY. Segments QR and QS are perpendicular bisectors of triangle XYZ. Find the length of segment QS if QR = 4x + 1 and QS = 3x + 6.

Answer 1

23

22

21

20

Answer 2

I'm working out the problem right now.

Answer 3

Ok thank you @ChrisHogan

Answer 4

the 2 sides are equal so solve for x:=

4x + 1 = 3x + 6

then plug in the value of x into the expression for QS ( 3x + 6)

Answer 5

can you find x ?

Answer 6

im doing it now @welshfella

Answer 7

OK

Answer 8

1x = 5 ? @welshfella

Answer 9

right x = 5
so all you need do now is replace x in 3x + 6 by 5 and work it out.

Answer 10

so 3(5) + 6 = 23 ?

Answer 11

No - try again
3(5) = 15

Answer 12

so 3(5) + 6 = 21

Answer 13

yep

Answer 14

okay thank you !

Answer 15

yw