56.9k views
2 votes
Solve this for me please

Solve this for me please-example-1
User Deyan
by
7.9k points

1 Answer

2 votes

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.

User WNRosenberg
by
8.0k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories