Question

The diagonals of PQRS intersect at X. If SX= 20cm, what is the sum of the measurements of the diagonals?

Answer 1

Answer:

Question;-

The diagonals of PQRS intersect at X. If SX= 20cm, what is the sum of the measurements of the diagonals?

Solution:-

Diagonals of rhombus bisect each other.

Diagonals of rhombus bisect each other.All sides of a rhombus are congruent.

:.OS=OQ

In △ROQ,OQ = Root over (20^2 -14^2 )...... [ By Pythagoras theorem]

OQ= root over(400−146 )

OQ= root over(204)

:. SQ= 2 root over(204) ....[ (S-O-Q) ]