We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive pseudonymised information about your use of our website. cookie policy and privacy policy.
 
+0  
 
0
71
1
avatar

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

 Nov 27, 2018
 #1
avatar+99617 
+1

(1/4) of the perimeter  = a side length

 

So

 

148 * (1/4)  =  37

 

The side length forms the hypotenuse of a right triangle

And (1/2) of the known diagonal length = 12    forms one leg of this triangle

 

So...using the Pythagorean Theorem, the other leg = 

 

sqr ( 37^2 - 12^2 )   = sqrt ( 1369 - 144) = sqrt ( 1225) = 35

 

And twice this is the length of the other diagonal =  70

 

 

cool cool cool

 Nov 27, 2018

39 Online Users

avatar
avatar
avatar
avatar
avatar
avatar