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Solve the correct answers from 21- 37

Mathematics

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Step-by-step solution

2 steps

  1. Understand the problem and the given figure.

    The problem asks for the length of ∣RS∣|RS| in the given figure. The figure shows a quadrilateral PQRS with right angles at P and S. This means that PQ is parallel to RS, and PS is perpendicular to both PQ and RS. Therefore, PQRS is a right trapezoid.
    The given lengths are:
    ∣PQ∣=4 cm|PQ| = 4 \text{ cm} (the top horizontal side)
    ∣SP∣=12 cm|SP| = 12 \text{ cm} (the left vertical side)
    ∣RQ∣=3 cm|RQ| = 3 \text{ cm} (the diagonal side)

  2. Draw a perpendicular from Q to RS.

    Draw a line segment from Q perpendicular to RS, and let the point

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