Mathematics

Problem

Diagonal

PR

of quadrilateral

PQRS

15\,\text{cm}

. Angles

\angle QPR

and

\angle SRP

are each

90^{\circ}

. If

PQ = 3y - 2\,\text{cm}

and

RS = 2y + 4\,\text{cm}

, which value of

y

makes the two right-angled triangles

\triangle PQR

and

\triangle PRS

congruent? a)

4

\dfrac{11}{2}

6

\dfrac{17}{3}