37. If the sum of the sides of a right triangle is 49 inches and the hypotenuse is 41
inches, find the two sides.
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37. If the sum of the sides of a right triangle is 49 inches and the hypotenuse is 41
inches, find the two sides.
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Answer:
if x = 9, y = 40
else if x = 40, y = 9
Step-by-step explanation:
Let x be the length of 1 of the missing sides.
⇒49 − x is the length of the other missing side.
Now, using pythagoras theorem,
x² + (49-x)² = 41²
x² + 2401 - 98x + x² = 1681
x² - 49x + 360 = 0
(x-9)(x-40) = 0
⇒ x = 9 or x = 40
let y = 49-x,
if x = 9, y = 40
else if x = 40, y = 9