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alexandr1967 [171]
2 years ago
6

Does anyone know the answer?

Mathematics
1 answer:
sp2606 [1]2 years ago
7 0

Answer:

x = 3\sqrt{2}

Step-by-step explanation:

Since the triangle is isosceles then the 2 legs are congruent, both x

Using Pythagoras' identity in the right triangle

x² + x² = 6²

2x² = 36 ( divide both sides by 2 )

x² = 18 ( take square root of both sides )

x = \sqrt{18} = \sqrt{9(2)} = \sqrt{9} × \sqrt{2} = 3\sqrt{2}

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