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Kim is creating a mosaic in her garden. She finds the tile below and wants to know the missing side length ‘x’. Calculate the missing side length to a reasonable level of accuracy, explain your decision.

Kim is creating a mosaic in her garden She finds the tile below and wants to know the missing side length x Calculate the missing side length to a reasonable le class=

Respuesta :

Answer:

x = 7.99 cm

Step-by-step explanation:

By applying cosine rule in the given triangle,

AC² = AB² + BC² - 2(AB)(AC)cosC

Substitute the measures of the sides and the angle in this formula,

x² = 6² + 10² - 2(6)(10)cos(53°)

x² = 36 + 100 - 72.217

x² = 63.782

x = √(63.782)

x = 7.99 cm

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