Question

2. Sum of the squares of adjacent sides of a parallelogram is 130 54
ent sides of a parallelogram is 130 sq.cm and length
of one of its diagonals is 14 cm. Find the length of the other diagonal


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Answer 1

Step-by-step explanation:

Let the sides of a parallelogram are PS, SR, QR, PQ & diagonals be PR & QS.

Given : Sum of the squares of adjacent sides of a parallelogram (PS² + SR²)& (QR² + PQ²) = 130 cm & length of one of its diagonals (PS) = 14 cm.

(PS² + SR²)+ (QR² + PQ²) = PR² + QS²

[the sum of the squares of the diagonals of a parallelogram is equal to the sum of the squares of its sides.]

130 +130 = 14² + QS²

260 = 196 + QS²

260 - 196 = QS²

64 = QS²

QS =√64 = 8 cm

QS = 8 cm

Hence, the length of the other diagonal is 8 cm.

HOPE THIS WILL HELP YOU…..

Answer 2

Answer:

let the sides of a parallelogram are PS,SR,QR,PQ and diagonal be PR and QS

Given sum of the square to adjacent sides of a parallelogram (PS²+SR²) and (QR²+PQ²)=130cm and length of one of it's diagonal (PS)=14cm