Problema Solution
The diagonal of a tv is 26 inches long. Its length is 14 inches more than the height. Find the dimensions of the tv set.
Answer provided by our tutors
Let height: x
Then length: x+14
Notice, they give you the diagonal. Apply the Pythagorean theorem:
x^2+(x+14)^2=26^2
x^2+x^2+28x+196=676
2x^2+28x=480
2x^2+28x-480=0
x^2+14x-240=0
(x-10)(x+24)=0
x=10
x=-24
Since only positive numbers make sense, take the 10.
So, dimensions are 10 by 24
ANSWER: 10 by 24