Diagonal (PR ) of quadrilateral (PQRS ) is (15

MATHEMATICS · Single correct · CBSE · Mathematics · Triangles · Triangles

Problem

Diagonal

PR

of quadrilateral

PQRS

is

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

(b)

\dfrac{11}{2}

(c)

6

(d)

\dfrac{17}{3}

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