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.

Guest May 10, 2021

#1**+1 **

c = c

b = 6 - c

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

36 + 36 - 12c + c^2 = c^2

72 = 12c

c = 6

=^._.^=

catmg May 10, 2021

#2**+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 + a^{2} ) 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