Question

Pythagorean Theorem: Jason only has room for a TV that is less than 30” wide.

Can he fit the TV in his room?

Answer 1

No, the tv is 32 inches wide.

Explanation:

`a^(2) +b^(2) = c^(2) \\24^(2) +b^(2) =40^(2) \\40^(2) -24^(2) =b^(2) \\1600-576=b^(2) \\1024=b^(2) \\√(1024) =b\\b=32`

Answer 2

No

Explanation:

Using the Pythagorean Theorem, make 40 = c, 24 = b and the remaining side (the width) = a.

Solving for a we get a =
`√(c^2-b^2)`. Then plugging in the values for c and b, we get a =
`√(1024)` = 32

Since the width of the TV needs to be less than 30" wide, it will not fit since the width of the TV is 32" wide.