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irina [24]
3 years ago
6

If QT is the perpendicular bisector of PR, find the measure of each.

Mathematics
1 answer:
Lina20 [59]3 years ago
6 0

Answer:

x = 7

y = 12

PQ = QR = 29

Step-by-step explanation:

In ΔPSR , PS = SR (given)

=> 4x+4=7x-17\\=> 7x-4x=17+4\\=>3x=21\\=>x=\frac{21}{3}=7

In ΔPQR , QT is perpendicular bisector of PR. So , PT = RT . As ΔPQR has a perpendicular bisector , it is an isosceles triangle.

So,

,PQ = RQ\\=>5y-31=2y+5\\=>5y-2y=31+5\\=>3y=36\\=>y=\frac{36}{3} =12

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Answer:

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Step-by-step explanation:

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or you can do:


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