Question

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

Answer 1

Answer:

No, the tv is 32 inches wide.

Step-by-step explanation:

$a^{2} +b^{2} = c^{2} \\24^{2} +b^{2} =40^{2} \\40^{2} -24^{2} =b^{2} \\1600-576=b^{2} \\1024=b^{2} \\\sqrt{1024} =b\\b=32$

Answer 2

Answer:

No

Step-by-step explanation:

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

Solving for a we get a = $\sqrt{c^2-b^2}$. Then plugging in the values for c and b, we get a = $\sqrt{1024}$ = 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.