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philkas414
17.01.2020 •
Mathematics
5,140 centimeters = decameters centimeters
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Ответ:
Step-by-step explanation:
We have three right triangles
For the biggest one from Pythagoras Theorem the square of its base side length (let it be a) is:
a² = (x+7)² - 12²
The square of the segment inside the biggest triangle (let it be h) is:
From the smallest triangle: h² = a² - 7²
From the medium triangle: h² = 12² - x²
Therefore:
a² - 7² = 12² - x²
(x+7)² - 12² - 7² = 12² - x²
x² + 2·x·7 + 7² - 12² - 7² = 12² - x²
x² + 14x - 144 = 144 - x²
x² + x² + 14x -144 - 144 = 0
2x² + 14x - 288 = 0
x² + 7x - 144 = 0
{
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