+0  
 
+4
1097
2
avatar+82 

Rhombus $ABCD$ has perimeter $148$, and one of its diagonals has length $24$. How long is the other diagonal?

 Jan 8, 2021
 #1
avatar
+1

Well let us name the side lengths $x$

$4x=148$

$x=37$
we know a side of diagonal, divide it by 2 and it is 12, by the Pythagorean theorem

12^2+(y^2)=37^2

y^2=1225

$y=35$

thereofre the other length of the diagonal is 35*2=$70$

 Jan 8, 2021
 #2
avatar+82 
+1

Thank you!

Leafie  Jan 15, 2021

2 Online Users