Answer to Question #243221 in Geometry for Jay

Question

True or false: If PQ≅QR , with PQ = 3x – 8, QR = 2x, and RS = 1.5x + 4, then PS = 24.

Answer 1

Given that

$PQ=3x-8,QR=2x\\RS=1.5x+4,PS=24$

Now

$PQ+QR+RS=PS\\=(3x-8)+2x+(1.5x+4)=24\\=6.5x-4=24\\6.5x=28\\x=4.3\\now\\PQ=3×4.3-8=4.9\\and\\QF=2×4.3=8.6$

Since$PQ{=}\mathllap{/\,}QR$

So the given statement is false