A flat screen Tv is measured by its diagonal length. You have enough space to fit a Tv that is 25 inches wide and 20inches tall. The diagonal of the tv measures 32 inches and it is 19.2 inches tall. How wide is the tv? Can you fit a 32"tv in your space? Explain

The tv is too big

Step-by-step explanation:

Using the Pythagorean theorem

a^2 + b^2 = c^2

where a and b are the legs of the triangle and c is the hypotenuse

We know the diagonal or hypotenuse is 32 and one of the legs is 19.2 so we can find the other leg

a^2 + 19.2 ^2 = 32 ^2

a^2 + 368.64 = 1024

Subtract 368.64 from each side

a^2 + 368.64-368.64 - 368.64 = 1024-368.64

a^2 = 655.36

Take the square root of each side

sqrt (a^2) = sqrt (655.36)

a = 25.6

The dimensions of the space are 20 by 25

Our TV is 19.2 by 25.6 The TV is too long by (25.6-25=.6) by. 6 inches