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
46
1
avatar

In the triangle shown, for angle A to be the largest angle of the triangle, it must be that m

 

diagram

 Jan 29, 2019
edited by Guest  Jan 29, 2019
 #1
avatar+99523 
+1

It must be that    x + 9 is the longest side since the longest side of a triangle is opposite the largest angle

 

So

 

x + 9 > 3x               

 

9 > 2x

 

9/2 > x

 

And   x + 9 will always be greater than x + 4

 

But we also  have the restriction (by the Triangle Inequalty) that

 

3x + (x + 4) > x + 9

 

4x + 4 > x + 9

 

3x > 5

 

x > 5/3

 

So....the allowable values for x that make x + 9  the longest side  are

 

5/3 < x < 9/2

 

 

cool cool cool

 Jan 29, 2019

6 Online Users