Question

sum of squares of adjacent sides of parallelogram is 130 sq.cm.and length of one of its diagonal is 14 cm find the other diagonal.​

Answer 1

Answer:

Final Answer is 8cm

Step:

1) Let a,b be two adjacent sides of a parallelogram & dj and d2 be two diagonals of a parallelogram.

Give :

a² +b² = 130cm²

d¹ = 14cm ,d² = ?

2)We know that,

We know that,In parallelogram,

d½ +d²² = 2 (a² + b²)

= \textgreater 14² + d²² = 2 * 130

= \textgreater d²² = 260 - 196 = 64

\textgreater d² = 8cm

Hence,The length of other diagonal is 8

Hence,The length of other diagonal is 8cm.