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In ΔIJK, k = 26 cm, ∠I=135° and ∠J=11°. Find the length of i, to the nearest centimeter.

Sagot :

Mhanifaidn

Answer:

  • 33 cm

Step-by-step explanation:

Given

Triangle IJK with:

  • Side k = 26 cm, ∠I = 135°, ∠J = 11°

To find

  • The length of side i

Solution

Find angle K:

  • ∠K = 180° - (135° + 11°) = 34°

Use the low of sines to findthe value of i:

  • i/sin I = k/sin K
  • i = k sin I / sin K
  • i = 26 * sin 135° / sin 34° = 33 cm (rounded to the whole number)
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