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sergeinik [125]
3 years ago
15

Please help this is due in like ten minutes.

Mathematics
1 answer:
Minchanka [31]3 years ago
5 0

Answer:

x = \sqrt{14}

Step-by-step explanation:

Using Pythagoras' identity in both tight triangles.

First in the small triangle to find the third side ( hypotenuse ) h

h² = 1² + 1² = 1 + 1 = 2 ( take square root of both sides )

h = \sqrt{2}

Now use the identity in the larger right triangle

x² + h² = 4²

x² + (\sqrt{2} )² = 16

x² + 2 = 16 ( subtract 2 from both sides )

x² = 14 ( take square root of both sides )

x = \sqrt{14}

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