+0  
 
0
59
1
avatar+529 

A right triangle has legs of length \(6\) and \(b\), and a hypotenuse of length \(c\). The perimeter of the triangle is \(18\). Compute \(c\).

Logic  Sep 23, 2018
 #1
avatar+14565 
+2

Pythag theorem

6^2 + b^2 = c^2

 

Given    6 + b + c = 18

      rearranged:  b=12-c      sub into pythag

 

6^2 + (12-c)^2 = c^2      expand

36 + 144 -24c + c^2 = c^2     simplify

180 =24c    solve

c = 7.5          then b = 18-7.5-6=4.5

 

Check   6^2 + 4.5^2 = 7.5^2  ??

              36 + 20.25 = 56.25           yes!

ElectricPavlov  Sep 24, 2018

14 Online Users

avatar

New Privacy Policy

We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive information about your use of our website.
For more information: our cookie policy and privacy policy.