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
bija089 [108]
3 years ago
10

suppose a triangle has 2 sides of lengths 32 and 35 and that the angle between these 2 sides is 120 what is the length of the 3r

d side of the triangle
Mathematics
2 answers:
KonstantinChe [14]3 years ago
6 0

Let the Vertices of the  Δ  be  A , B ,  and  C

We will follow the Usual Notation for  Δ A B C ,  e.g., the side

opposite to the Vertex  A  will be denoted by  a , m ∠ A = A ,  etc.

In this notation, let us assume that,

a = 32 , b = 35 , & , C = 120 ° & we have to find  c

Using Cosine-Rule for  Δ A B C , we have,  

c²= a²+b² - 2 ab cos C = 32 ²+35² - 2 x 32 x 35 x cos 120° =

1024 + 1225 − 2240  cos ( 180 °− 60 °) = 2249 - 2240(-cos 60°)

2249+ 2240 (1/2)= 2249 + 1120=  3369

Answer: C= √3369 is about 58.04

Amanda [17]3 years ago
4 0

Answer:  58.043087 (approximate)

===================================================

Explanation:

Refer to the diagram below. We can use the law of cosines to solve for c

c^2 = a^2 + b^2 - 2*a*b*cos(C)

c^2 = 32^2 + 35^2 - 2*32*35*cos(120)

c^2 = 3369

c = sqrt(3369)

c = 58.043087 which is approximate

Round this value however you need to.

You might be interested in
NEED TO Be DONE ASAP!!<br><br><br> For each group of summer fruits, colour in 1/4
mash [69]

Answer:

Color 2 of the strawberries.

Color 4 of the pineapples.

Color 5 of the tomatoes.

Step-by-step explanation:

Divide each quantity by 4

3 0
3 years ago
Read 2 more answers
32. Find the ratio of the side lengths of the small triangle to the large
kupik [55]

Answer:

2/3

Step-by-step explanation:

that the ratio of that number

8 0
1 year ago
In AKLM, m = 1.2 cm, k = 5.1 cm and
Elodia [21]

Answer:

  4.2 cm

Step-by-step explanation:

The law of cosines is applicable.

  l² = k² +m² -2km·cos(L)

  l² = 5.1² +1.2² -2·5.1·1.2·cos(35°) ≈ 17.4236

  l ≈ √17.4236

  l ≈ 4.2 . . . cm

4 0
3 years ago
I need your help if the airplane was at altitude of 800 feet above sea level. It landed at airport 45 feet below sea level. Whic
kipiarov [429]

Answer:

800 ft above sea level

Step-by-step explanation:

6 0
3 years ago
Find sum of three consecutive even integers if the largest integer is Y
KATRIN_1 [288]

Answer:

3y -- 6

Step-by-step explanation:

if the largest number is y, then the other two integers would be (y -- 2) and (y -- 4).

Therefore the sum of the integers would be

y + (y -- 2) + (y -- 4) = 3y -- 6.

7 0
2 years ago
Other questions:
  • On a coordinate plane, line K L goes through (negative 6, 8) and (6, 0). Point M is at (negative 4, negative 2). Which point cou
    7·2 answers
  • The discriminant of a quadratic equation has a value of 0. Which of the
    15·2 answers
  • Draw hundred boxes, ten sticks, and circles to show a number between 100 and 200. What number did you show?
    8·1 answer
  • A hypothesis test involving one population standard deviation sometimes involves the calculation of .
    12·1 answer
  • 16 + 4x + 2x-3x + x = 0
    13·2 answers
  • Need help!!! Now!!!
    5·2 answers
  • The daily low temperature in Guangzhou, China Varies over time in a periodic way that can be modeled by a trigonometric function
    6·1 answer
  • Given that x = 7, what is the value of -2x^0
    7·1 answer
  • Which of the following descriptions best defines the term logistic growth?
    12·1 answer
  • A line segment always contains a line
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!