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antiseptic1488 [7]
3 years ago
10

What is the value of x

Mathematics
1 answer:
lapo4ka [179]3 years ago
7 0

Answer:

x = 15

Step-by-step explanation:

according to Altitude Theorem, we can set up this proportion:

9/RT = RT/16

RT² = 9(16)

RT² = 144

RT = \sqrt{144}

RT = 12

In right triangle STR, we can find 'x' by using the Pythagorean Theorem:

9² + 12² = x²

81 + 144 = x²

225 = x²

x = √225 = 15

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