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Given that ps is the perpendicular bisector of qr, pq=4x 19, and pr=2x 32, identify pq.

User Ratzo
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1 Answer

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Since PS is the perpendicular bisector of QR, it divides QR into two equal parts, and it is also perpendicular to QR.

Given:

PQ=4x+19

PR=2x+32

Since PS is the perpendicular bisector of QR, we have:

PQ=QR=PR

Therefore, we can set up an equation using the given lengths of PQ and PR:

4x+19=2x+32

solve for x:

2x=13

x=13/2

Now that we have the value of x, we can find PQ using the given expression PQ=4x+19:

PQ=4

. 13/2+19=26+19=45

so, the length of PQ is 45.

User JJ Gerrish
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