Question

sum of adjacent sides of a parallelogram is 130 square cm and length of one of its diagonal is 14 cm find the length of other diagonal ​

Answer 1

Answer:

ans =8cm

Step-by-step explanation:

1. 1) let a,b be the adjacent side of a pllgram & d1 and d2 be two diagnal of a pllgram

given.

$a {2} + b{2} = 130cm \\ d1 = 14 \\ d2 = ....$ 3) we know that in pllgram

${d1 }^{2} + {d2}^{2} = 2( {a}^{2} + {b}^{2} )$

14square +d2 =2 ×130

d2 square =260-196

d2 square=64

d =8

Answer 2

Hey Brother

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.

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

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