The legs of right triangle ABC have lengths 3 and 4. What is the perimeter of a right triangle with each side twice the length of its corresponding side in triangle ABC?

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Answer 1 · 2017-07-26T02:46:29

#2(3)+2(4)+2(5)=24#

Triangle ABC is a 3-4-5 triangle - we can see this from using the Pythagorean Theorem:

#a^2 + b^2 = c^2#

#3^2+4^2=5^2#

#9+16=25#

#25=25 color(white)(00)color(green)root#

So now we want to find the perimeter of a triangle that has sides twice that of ABC:

#2(3)+2(4)+2(5)=6+8+10=24#