Question

The rhombus has two diagonals in ratio 5.12 and perimeter is 104 find its length

Answer 1

Answer:

Step-by-step explanation:

In a rhombus, all the four sides are equal.

Therefore, x+x+x+x=104

4x=104

x=104/4=26

Now , as the diagonals of a  rhombus bisect each other at 90. then we can find the length using the pythagoras method

26² = (5x)²+(12x)²

676 = 25x² + 144x²

676 = 169x²

X² = 676/169

X²= 4

X = 2

Hence,  5*2=10 and 12*2=24