Mathematics, 05.10.2019 07:30 elijahlylejamez45
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 qs = 1/2x + 2 and qs = x - 10.
Answers: 1
![\bf \stackrel{QR}{\cfrac{x}{2}+2}~~=~~\stackrel{QS}{x - 10}\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{2}}{2\left( \cfrac{x}{2}+2 \right)=2(x-10)}\implies x+4=2x-20 \\\\\\ 4=x-20\implies 24=x \\\\[-0.35em] ~\dotfill\\\\ \stackrel{QR}{\cfrac{24}{2}+2}\implies 12+2\implies 14](/tpl/images/0288/6928/b5391.png)
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Triangle xyz is an isosceles triangle with legs xy and zy. segments qr and qs are perpendicular bise...
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