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cestrela7 [59]
3 years ago
15

Find the length of x

Mathematics
1 answer:
Goshia [24]3 years ago
7 0

Answer:

x = 8\sqrt{2}

Step-by-step explanation:

The triangle is isosceles with legs congruent, both x

Using Pythagoras identity in the right triangle

x² + x² = 16²

2x² = 256 ( divide both sides by 2 )

x² = 128 ( take the square root of both sides )

x = \sqrt{128} = \sqrt{64(2)} = \sqrt{64} × \sqrt{2} = 8\sqrt{2}

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