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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.

I dont honestley get how to do this question so i need some hints pls!

 May 1, 2020
edited by AltShaka  May 1, 2020
 #1
avatar+111433 
+2

OK  we have this

 

6 + b + c   = 18

 

b + c  =  18 - 6

 

b + c  = 12       (1)

 

Also

 

6^2 + b^2  = c^2      [ Pythagorean Theorem ]

 

36 + b^2 = c^2

 

36  = c^2 - b^2

 

36 = ( c - b) ( c + b)         sub in (1) for b + c

 

36 = (c - b) ( 12)    divide both sides by 12

 

3  = c - b    rearrange as

 

b = c - 3     sub this into (1)  for b

 

c - 3 + c  = 12

 

2c = 15

 

c =7.5

 

 

cool cool cool

 May 1, 2020
 #2
avatar+421 
+2

TY! Very much Cphill!

 May 1, 2020
 #3
avatar+111433 
+1

Welcome....!!!

 

cool cool cool

CPhill  May 1, 2020

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