Question

The area of the rhombus is 152 cm if the sides are of length 17 cm each, then what is the sum of the length of the two diagonals?

Answer 1

Answer:

48.08cm

Step-by-step explanation:

If area is 152 sq cm and

17^2=289=sum of squares of halves of diagonals

Reason: Pythagoras theorem

so 289=(a/2)^2+(b/2)^2

=(a sq+ b sq)/4

so

1156=a sq + b sq

=578+578

and length of two diagonals

=a+b

=24.04+24.04

=48.08 cm