Triangle XYZ is an isosceles triangle with legs XY and ZY. Segments QR and QS are perpendicular bisectors of triangle XYZ. Find the length of segment QR if QR = ½ x + 2 and QS = x - 10.

Question

jasbe · Answer

attachment

jasbe · Answer

20
		
15
		
14
		
10

jasbe · Answer

@welshfella can you help me with this one please ?

welshfella · Answer

this is the same problem as the previous one except the values are different 

first solve  1/2 x + 2 = x - 10

then plug the value of x into  1/2 x + 2

jasbe · Answer

ok @welshfella

welshfella · Answer

You can do it!

jasbe · Answer

I'm not getting any of the answers , i got -4 the first time and 8 the second time. @welshfella

welshfella · Answer

1/2 x + 2 = x - 10

subtract 1/2 x from both sides
1/2 x - 1/2 x + 2 = x - 1/2 x - 10

2 = 1/2 x - 10
add 10 to both sides 
2 + 10 = 1/2 x - 10 + 10

12 = 1/2 x

Now multiply both sides by 2 to get  the value of x

welshfella · Answer

2 * 1/2 x =  x  right?

welshfella · Answer

and 12 * 2 =  ?

jasbe · Answer

24 @welshfella

welshfella · Answer

right  x = 24 
so plug x = 24  into  x - 10  ( because thats easier  than 1/2 x + 2)  and work it out.

jasbe · Answer

24-10 = 14 @welshfella

welshfella · Answer

correct  That your answer:-    QR = 14

jasbe · Answer

Thank you , you actually really helped me ! @welshfella

welshfella · Answer

well - that's the purpose of this site.


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