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Maurinko [17]
3 years ago
9

Social studies Geometry P.11 Similarity and altitudes in right triangles CEZ You have priz If SU = 28 and UV = 6, what is TU? T

s V U Write your answer as a whole number or as a decimal rounded to the nearest hundredth. TU = Submit JUN E​

Mathematics
1 answer:
Alex777 [14]3 years ago
7 0

Answer:

TU ≈ 12.96

Step-by-step explanation:

Using the Altitude on Hypotenuse theorem

(leg of outer triangle)² = (part of hypotenuse below it) × (whole hypotenuse)

TU² = UV × SU = 6 × 28 = 168 ( take square root of both sides )

TU = \sqrt{168} ≈ 12.96 ( to the nearest hundredth )

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