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noname [10]
3 years ago
5

Find x and y for these problems part 2​

Mathematics
1 answer:
Svetradugi [14.3K]3 years ago
3 0

Answer:  See Below

<u>Step-by-step explanation:</u>

NOTES

45°- 45° - 90° sides are a - a - a√2

30° - 60° - 90° sides are b - b√3 - 2b

Solve for "a" <em>or "b"</em> and then plug that value in to find the missing side lengths.

c) 30° - 60° - 90°

  30° : b = x                           → 5√3 = x

  60° : b√3 = 15  → b = 5√3

  90° : 2b = y                         → 10√3 = y

d) 30° - 60° - 90°

  30° : b = x                      → 12 = x

  60° : b√3 = y                 → 12√3 = y

  90° : 2b = 24  → b = 12

e) 45° - 45° - 90°

  45° : a = 5√2          

  45° : a = x            → 5√2 = x

  90° : a√2 = y       → 10 = y

f) 30° - 60° - 90°

  30° : b = y                             → 5 = y

  60° : b√3 = 5√3  →  b = 5

  90° : 2b = x                          → 10 = x

g) 30° - 60° - 90°

  30° : b = x                             → 3√3 = x

  60° : b√3 = 9  → b = 3√3

  90° : 2b = y                           → 6√3 = y

h) 45° - 45° - 90°

  45° : a = 3  

  45° : a = (1/2)y  → 3 = (1/2)y  → 6 = y

  90° : a√2 = x                       → 3√2 = x

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