Pythagorean Theorem: Jason only has room for a TV that is less than 30” wide.
Can he fit the TV in his room?
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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 = [tex]\sqrt{c^2-b^2}[/tex]. Then plugging in the values for c and b, we get a = [tex]\sqrt{1024}[/tex] = 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.
Answer:
No, the tv is 32 inches wide.
Step-by-step explanation:
[tex]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[/tex]