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bija089 [108]
3 years ago
15

In ΔEFG, e = 2.6 cm, f = 7.2 cm and g=8.3 cm. Find the measure of ∠F to the nearest degree.

Mathematics
2 answers:
Svet_ta [14]3 years ago
4 0

Answer:

  • 57°  

Step-by-step explanation:

<u>Use the law of cosines:</u>

  • cos F = (e² + g² - f²)/2eg
  • cos F = (2.6² + 8.3²- 7.2²)/2(2.6)(8.3)
  •          = 0.5516
  • ∠F = arccos 0.5516
  • ∠F = 57° (rounded to the nearest degree)
goldfiish [28.3K]3 years ago
4 0

Answer:

57

Step-by-step explanation:

cos F = (e² + g² - f²)/2eg

cos F = (2.6² + 8.3²- 7.2²)/2(2.6)(8.3)

        = 0.5516

∠F = arccos 0.5516

∠F = 57° (rounded to the nearest degree)

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Triangle FBT is similar to triangle ADQ with a scale factor of 5/3. AD = 9; BF = 15, DQ = 6; BT = 10, FT = 21; AQ = 12.6

∠F = ∠A = 40°, ∠Q = ∠T = 55°, ∠B = ∠D = 85°

<h3>What are similar triangles?</h3>

Similar triangles are triangles that have the same shape and the ratio of their corresponding sides are in the same proportion. Corresponding angles are equal.

triangle FBT is similar to triangle ADQ with a scale factor of 5/3.

AD = 9; BF = 9 * 5/3 = 15

DQ = 6; BT = 6 * 5/3 = 10

FT = 21; AQ = 21 * 3/5 = 12.6

∠F = ∠A = 40°, ∠Q = ∠T = 55°, ∠B = ∠D = 85°

Find out more on similar triangles at: brainly.com/question/2644832

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Step-by-step explanation:

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