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DENIUS [597]
2 years ago
14

Hey all!

Mathematics
1 answer:
Rainbow [258]2 years ago
8 0

Answer:

  • 65°

Step-by-step explanation:

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

  • cos C = (25² + 27² - 28²)/(2*25*27)
  • cos C = 0.4222
  • m∠C = arccos 0.4222
  • m∠C = 65°
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In ΔABC, if m ∠A = m∠C, m∠B = ß (where ß is an acute angle), and BC = x, which expression gives the length of b, the side opposi
chubhunter [2.5K]

Answer:

The length of b is \sqrt{2x^2(1-cos\beta)}.

Step by step explanation:

Given information: In ΔABC, ∠A =∠C, ∠B = ß (where ß is an acute angle), and BC = x.

Since two angles are same therefore triangle ABC is an isosceles triangle and side AB and BC are congruent.

AB=BC=x

According to Law of cosine

b^2=a^2+c^2-2ac\cos B

b^2=x^2+x^2-2(x)(x)\cos \beta

b^2=2x^2-2x^2\cos \beta

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\sqrt{2x^2(1-cos\beta)}

Therefore the length of b is \sqrt{2x^2(1-cos\beta)}.

6 0
3 years ago
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o-na [289]
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7 0
3 years ago
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Step-by-step explanation:

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Step-by-step explanation:

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