SOLUTION: A 31-in. television has a 31 in. diagonal and a 18 in. width. What is the height of the 31-in. television?

Algebra ->  Length-and-distance -> SOLUTION: A 31-in. television has a 31 in. diagonal and a 18 in. width. What is the height of the 31-in. television?      Log On


   

Question 637949: A 31-in. television has a 31 in. diagonal and a 18 in. width. What is the height of the 31-in. television?
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

a diagonal, width, and a height form right triangle; so, you need to use Pythagorean theorem
let's
diagonal=d
width=w
height=h, then you have
d%5E2=h%5E2%2Bw%5E2.....solve for h
h%5E2=d%5E2-w%5E2...plug in values
h%5E2=%2831in%29%5E2-%2818in%29%5E2
h%5E2=961in%5E2-324in%5E2
h%5E2=637in%5E2
h=sqrt%28637in%5E2%29....use only positive rood (height could be only positive number)
h=25.24in%29