Question

I need some help on math!!

Answer 1

PU= 30 (im not 100%)
PR= 128
QV= 78

Answer 2

The values of PU, PR, and QV are: PU = 50,PR = 69, QV = 69

To calculate the values of PU, PR, and QV, we can use the following steps:

Step 1: Since V is the circumcenter of triangle APQR, we know that UV = 30.

Step 2: We also know that PS = 64 and RV = 78.

Step 3: To find PU, we can use the Pythagorean Theorem:

`PU^2 = PV^2 - UV^2`

`PU^2 = (64)^2 - (30)^2`

`PU^2 = 2560`

`PU = √(2560) = 50`

Step 4: To find PR, we can use the Pythagorean Theorem again:

`PR^2 = PV^2 - RV^2`

`PR^2 = (78)^2 - (30)^2`

`PR^2 = 4724`

`PR = √(4724) = 69`

Step 5: To find QV, we can use the Pythagorean Theorem:

`QV^2 = VQ^2 - UV^2`

`QV^2 = (78)^2 - (30)^2`

`QV^2 = 4724`

`QV = √(4724) = 69`

Therefore, the values of PU, PR, and QV are:

PU = 50

PR = 69

QV = 69