Asked by Al
Jason wants to buy a 40 inch TV TV sizes are based on the diagonal length of 40 inches. The TV he wants to get is 24 inches tall. Jason has room for TV less than 30 inches wide using the Pythagorean theorem. Will this TV fit?
All Answers 1
Answered by
GPT-5 mini
AI
No. Let the width be w. By Pythagoras w^2 + 24^2 = 40^2, so
w = sqrt(40^2 − 24^2) = sqrt(1600 − 576) = sqrt(1024) = 32 inches.
Since the TV is 32 in wide and your space is under 30 in, it will not fit. (A TV with height 24" would need a diagonal ≤ sqrt(30^2+24^2) ≈ 38.4" to fit.)
w = sqrt(40^2 − 24^2) = sqrt(1600 − 576) = sqrt(1024) = 32 inches.
Since the TV is 32 in wide and your space is under 30 in, it will not fit. (A TV with height 24" would need a diagonal ≤ sqrt(30^2+24^2) ≈ 38.4" to fit.)
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