Mathematics, 11.10.2019 22:00, jrfranckowiak

(this is a "show your work" type of assignment)

1. can you use pythagorean theorem to find the missing side? why or why not?

2. would you use law of sine or law of cosine to find the length of side cb? explain your answer.

3. find the length of side cb. show your work and round your answer to the nearest whole number.

4. find the measure of angle c. (hint: use the other “law”). round your answer to the nearest whole degree.

5. what is the measure of angle b? show your work and round your answer to the nearest whole degree.

(this is a "show your work" type of assignment) 1. can you use pythagorean theorem to fi

Answers: 3

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Answers

answered: mathscience9301

Part 1) It is not possible to apply the Pythagorean Theorem to find the missing side, because is not a right triangle

Part 2) I would use the law of the cosine, because to apply the law of sine I would need to know the value of angle C or angle B

Part 3) The length of side CB is $369\ units$

Part 4) The measure of angle C is $35\°$

Part 5) The measure of angle B is $88\°$

Step-by-step explanation:

Part 1) Can you use Pythagorean Theorem to find the missing side?

we know that

The Pythagorean Theorem is used in a right triangle

The triangle ABC of the figure is not a right triangle

therefore

It is not possible to apply the Pythagorean Theorem to find the missing side

Part 2) Would you use Law of Sine or Law of Cosine to find the length of side CB?

I would use the law of the cosine, because to apply the law of sine I would need to know the value of angle C or angle B

Part 3) Find the length of side CB. Show your work and round your answer to the nearest whole number

Applying the law of cosine

$BC^{2}=AB^{2}+AC^{2}-2(AB)(AC)cos(A)$

substitute the values

$BC^{2}=255^{2}+440^{2}-2(255)(440)cos(57\°)$

$BC^{2}=136,408$

$BC=369\ units$

Part 4) Find the measure of angle C. (Hint: use the other “Law”). Round your answer to the nearest whole degree

Applying the law of sines

$\frac{AB}{sin(C)}=\frac{CB}{sin(A)}$

substitute the values

$\frac{255}{sin(C)}=\frac{369}{sin(57\°)}$

$sin(C)=255*sin(57\°)/369=0.5796$

$C=arcsin(0.5796)=35\°$

Part 5) What is the measure of angle B? Show your work and round your answer to the nearest whole degree.

Remember that

the sum of the interior angles of a triangle must be equal to 180 degrees

substitute the values and solve for <B

$57\°+$

answered: Guest

I’m having a hard time understanding your question

answered: Guest

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

$\tan\left(x\right)=\frac{\left[altitude\right]}{\left[base\right]}=\frac{p}{r}$