Question

Please answer question number 20. With solution and answer please help.​

Answer 1

Answer: 18.5 cm

Explanation:

The diagonals of a rhombus are perpendicular bisectors so we can use the Pythagorean Theorem to find the side length of the rhombus. Remember that the sides of a rhombus are congruent (equal) so if we find the length of one side, we have found the lengths of all of the sides.

`\bigg((35)/(2)\bigg)^2+\bigg((12)/(2)\bigg)^2=c^2\\\\\\17.5^2+6^2=c^2\\\\306.25+36=c^2\\\\342.25\quad =c^2\\\\√(342.25)=c\\\\\large\boxed{18.5}=c`

So, each side of the rhombus is 18.5 cm.