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.

mathtoo Aug 13, 2018

#1**+3 **

Hint: Difference of Squares!

a^2+b^2=c^2, c^2-b^2=a^2, (c+b)(c-b)=36.

You also know the perimeter is 18, so 6+b+c=18, b+c=12.

So, (12)(c-b)=36, c-b=3..

Now, we have two equations, and if we subtract, we will get: c=7.5

azsun Aug 13, 2018