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hjlf
3 years ago
14

Find the missing side of the triangle. leave your answer in simplest radical form

Mathematics
1 answer:
KIM [24]3 years ago
8 0

missing side is x} = 10.15 mi .

<u>Step-by-step explanation:</u>

Here we have the following info from the figure: A right angled triangle with following dimensions

Perpendicular = x

base = \sqrt{122}

Hypotenuse = 15

By Pythagoras Theorem :

Hypotenuse^2 = Perpendicular^2 + base^2

⇒ Hypotenuse^2 = Perpendicular^2 + base^2

⇒ 15^2 = x^2 + (\sqrt{122})^2

⇒ 225 = x^2 + 122

⇒ x^2 = 225-122

⇒ x^2 = 103

⇒ (x^2)^\frac{1}{2} = (103)^\frac{1}{2}

⇒ x} = (103)^\frac{1}{2}

⇒ x} = 10.15

Therefore, missing side is x} = 10.15 mi .

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