Question

Solve this for me please

Answer 1

In a square PSRQ, the diagonals PR and SQ intersect at the midpoint O. You've mentioned that PO = 3. Since PO is the midpoint of PR, RO is also 3.

Now, using the Pythagorean Theorem in right triangle ROQ, we can find the length of RQ.

`\[ RQ^2 = RO^2 + OQ^2 \]`

Substitute the given values:

`\[ RQ^2 = 3^2 + 3^2 \]`

`\[ RQ^2 = 9 + 9 \]`

`\[ RQ^2 = 18 \]`

`\[ RQ = √(18) \]`

Rounding to the nearest tenth,
`\( RQ \approx 4.2 \).`

Therefore, the correct value for QR is approximately 4.2.