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

Question

3 years ago

9

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

1 answer:

Alex777 [14] · Answer 1 · 2022-07-05T14:59:41+03:00

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 )