- The figure is a parallelogram PQRS with side lengths PQ = 8m, PS = 10m, and SR = 17m.
- In a parallelogram, opposite sides are equal. Therefore, PQ = SR and PS = QR.
- Given PQ = 8m and SR = 17m, this contradicts the property of a parallelogram unless there is an error in labeling or interpretation.
- Assuming the intention is to find the height (b) from Q to SR, we can use the Pythagorean theorem on triangle PQS.
- In triangle PQS, PQ = 8m, PS = 10m, and angle at Q is 90 degrees.
- Using the Pythagorean theorem: b² + 8² = 10² → b² + 64 = 100 → b² = 36 → b = 6m.
- The length c (diagonal PR or QS) can be found using the Pythagorean theorem in triangle QSR: c² = b² + 17² = 36 + 289 = 325 → c = √325 = 5√13 m.
- Alternatively, if c refers to PS, then c = 10m as given.
Parent Tip: Review the logic above to help your child master the concept of pythagorean theorem problems worked out.
