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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 12. Compute c.

 May 10, 2021
 #1
avatar+2193 
+1

c = c

b = 6 - c

 

6^2 + (6 - c)^2 = c^2

36 + 36  - 12c + c^2 = c^2

72 = 12c

c = 6

 

=^._.^=

 May 10, 2021
 #2
avatar+34306 
+1

Hypotenuse cannot be the same length as one of the legs.....

  sooo

 

6 + a +c = 12

6^2 +a^2 = c^2     or c = sqrt (36 + a2 )  sub this into the forst equation

 

6 + a + sqrt (36+a^2) = 12

sqrt(36+a^2)  = 6-a

36 + a^2 = 36 - 12a + a^2   uh oh....this is not a right triangle possibiity !

 

Guess I should have seen that ....if the hyptotenuse has to be longer than the leg of 6  the perimiter will be greater than 12 !

ElectricPavlov  May 10, 2021

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