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coldgirl [10]
3 years ago
7

In two or more complete sentences, explain the theorem used in solving for the range of possible lengths of the third side, AB o

f triangle ABC
Mathematics
2 answers:
LenaWriter [7]3 years ago
8 0

Answer:


Step-by-step explanation:

In triangle if two sides are known and included angle is known we can use cosine formula as follows:

Say in a triangle, sides a,b are known and also included angle C

Then the third side

c^{2} =a^{2}+b^{2} -2abCos C

Since all values on right side are known, we can find the third side c easily.

Case II:

If alternately two sides and one angle not included is known. i.e we know a,b and either angle A or B.

then to find third side we use sine formula.

\frac{a}{sinA}=\frac{b}{sinB} =\frac{c}{sinC}

Using the above we can find the unknonwn side c easily.

Luden [163]3 years ago
3 0
You can use the Pythagorean Theorem to find the length of the third side AB (Identified as "x" in the figure attached in the problem), which says that in a right angled triangle, the square of the hypotenuse is equal to the sum of the squares of the legs:
 a² = b²+c²
 As we can see the figure, the triangle does not have an angle of 90°, but it can be divided into two equal parts, leaving two triangles with a right angle. We already have the values of the hypotenuse and a leg in triangle "A" , so we can find the value of the other leg:
 b = √(a²-c²) b = √(10²-4²) b = 9.16
 With these values, we can find the hypotenuse in the triangle "B": x = √b²+c² x = √(9.16)²+(4)² x = 10
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Which logarithmic equation is equivalent to the exponential equation below? E^a=60
Gala2k [10]

Answer:

B

Step-by-step explanation:

e is the base of the natural log system.

take the natural log of both sides.

ln(e^a) = ln(60)                      The power can come down

a ln(e) = ln(60)                       The natural log of e = 1

a * 1 = ln (60)

a = ln(60)  

8 0
3 years ago
What are 9 mulitples of 13
vagabundo [1.1K]

Answer:

See below

Step-by-step explanation:

13*1 = 13

13*2 = 26

13*3 = 39

13*4 = 52

13*5 = 65

13*6 = 78

13*7 = 91

13*8 = 104

13*9 = 117

13*10 = 130

3 0
3 years ago
Read 2 more answers
A number, half of that number, and one fifth of that number are added. The result is 51. What is the original number?
Lera25 [3.4K]
Let the original number be ‘x’
Then half of that number= 1/2x or simply x/2
Similarly one fifth of that number = x/5
According to the question
x+x/2+x/5=51
Taking LCM
10x/10+2x/10+5x/10=51
Multiplying 10 throughout
10x+2x+5x=510
17x=510
x=510/17
Therefore x=30
7 0
3 years ago
A small accounting firm has 4 accountants who each earn a different salary between 50,000 and 60,000 and a 5th accountant who wo
Nimfa-mama [501]

Answer: B

Step-by-step explanation:

Both the mean and the median will decrease, but the mean will decrease by more than the median.

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3 years ago
J+3/8 if j Equals 3/8
hodyreva [135]

Answer:

3

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Multiply the numerator of the first fraction by the denominator of the second fraction. Set this equal to the product of the denominator of the first fraction and the numerator of the second fraction.

(

3

5

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⋅

8

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Step-by-step explanation:Multiply the numerator of the first fraction by the denominator of the second fraction. Set this equal to the product of the denominator of the first fraction and the numerator of the second fraction.

(

3

5

)

⋅

8

=

j

⋅

3

6 0
3 years ago
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