SOLUTION: a 37 inch square tv is on sale at the local electronics store. if 37 inches is the measure of the diagonal of the screen, use the pythagorean theorum to find the length of the side

Question 297260: a 37 inch square tv is on sale at the local electronics store. if 37 inches is the measure of the diagonal of the screen, use the pythagorean theorum to find the length of the side of the screen
Found 2 solutions by jim_thompson5910, CharlesG2:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Hint: We're dealing with a square, so this means that the side lengths are equal. We'll call these side lengths 's'. Recall that the pythagorean theorem is where 'a' and 'b' are the legs and 'c' is the hypotenuse. In this case, the square's side lengths are the legs and the diagonal is the hypotenuse. This means that . Simply solve this equation for 's' to find the side length of the square tv
Answer by CharlesG2(834) (Show Source): You can put this solution on YOUR website!
a 37 inch square tv is on sale at the local electronics store. if 37 inches is the measure of the diagonal of the screen, use the pythagorean theorum to find the length of the side of the screen
tv is square so all 4 sides equal so in Pythagorean Theorem:
a^2 + b^2 = c^2 --> 2a^2 = c^2, c is the diagonal (or hypotenuse)
2a^2 = (37)^2
a^2 = (37)^2 / 2
a = 37/sqrt(2) = (37sqrt(2))/2
a = approx. 26.16 inches

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