1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Bezzdna [24]
3 years ago
9

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

te ∠B ?

Mathematics
1 answer:
chubhunter [2.5K]3 years ago
6 0

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

b^2=2x^2(1-\cos \beta)

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

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

You might be interested in
I need help!!!!!!!!!!!!!!
Sloan [31]
With what? There is no question
3 0
2 years ago
WILL GIVE BRANLIEST <br><br> Find the missing side lengths .
KiRa [710]
Ok so these are the first 3 hope its clear

3 0
3 years ago
So what is a dilation and how will it effect the image and the preimage(i have 8th grade math).
Gennadij [26K]

Answer:

In geometry, a transformation is an operation that moves, flips, or changes a shape to create a new shape. A dilation is a type of transformation that enlarges or reduces a figure (called the preimage) to create a new figure (called the image).

Step-by-step explanation:

6 0
3 years ago
What is the inequality of 6x-4&lt;8?
Kobotan [32]
6x - 4 < 8

Add 4 to both sides:
6x < 12

Divide both sides by 6:
x < 2

Answer: x < 2
7 0
3 years ago
_+6 +2 = 6 + 10<br><br> Find the missing number
Sauron [17]
574=30303 equals that
4 0
3 years ago
Read 2 more answers
Other questions:
  • A diver’s elevation is −30 feet relative to sea level. She dives down 12 feet. What is her elevation after the dive
    15·2 answers
  • Equivalent fraction on 9/24
    5·1 answer
  • 5 cakes cost £2.50 how much do 7 cakes cost?
    15·2 answers
  • TIMED TIMED
    6·2 answers
  • The Statue of Liberty is 305.5 feet tall from the foundation of its pedestal to the top of its torch Isla is building a model of
    9·2 answers
  • The product of Vidya's savings and 9 is 126.
    15·2 answers
  • Which describes the transformation of. ◇PQR to z◇P'Q'R​
    5·2 answers
  • Solve these equations by using subtraction.
    12·1 answer
  • Need help with this problem ​
    14·1 answer
  • Write the slope-intercept form of the equation that passes through the point (-2,2) and is parallel to the line y = 3x - 5
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!