Question

A certain television is advertised as a 10-inch TV (the diagonal length). If the width of the TV is 6 inches, how many inches tall is the TV?

Answer 1

8

Explanation:

a[2]+b[2]=c[2]

6[2]+b[2]=10[2]

36+b[2]=100

-36=-36

`√(64)`=8

Answer 2

8

Explanation:

Basically, if the diagonal length is 10, then the hypotenuse is also 10,

Based on the Pythagorean Theorem our equation would be like this..

`x^(2) + 6^(2) = 10^2`

10 squared is 100 and 6 squared is 36

Now that you know that, set the equation to equal x squared by subtracting 36 from both sides!

100 - 36 = 64

so now the equation looks like this...

`x^(2) = 64`

To solve for x, find the square root of both sides of the equation

The square root of x squared is x of course. The square root of 64 is 8.

So x = 8 ! :D

Oof that took, so long to type :((