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Advocard [28]
4 years ago
13

pqrs is a rectangle with sides ps=5cm and pq =12cm find the length of qr ,sr and the two diagonals pr and qs. ​

Mathematics
1 answer:
never [62]4 years ago
7 0
<h3>Given:</h3>

PQRS is a rectangle.

PS = 5cm

PQ = 12cm

<h3>To Find:</h3>

The length of qr ,sr and the two diagonals pr and qs.

<h3>Solution:</h3>

Opposite sides of a rectangle are equal.

QR = PS = 5cm

SR = PQ = 12cm

By using Pythagoras Theorem, we get

PR = √PS^2 + SR^2

or, PR = √25 + 144

or, PR = √169

or, PR = 13cm

Diagonals of a rectangle are equal.

QS = PR = 13cm

<h2>Answer:</h2>

QR = 5 cm

SR = 12 cm

PR = 13 cm

QS = 13 cm

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