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
stira [4]
2 years ago
14

How do you find the length of a leg on a triangle?

Mathematics
2 answers:
shutvik [7]2 years ago
7 0

9514 1404 393

Answer:

  • law of sines
  • law of cosines
  • Pythagorean theorem
  • area formula

Step-by-step explanation:

The method for finding the unknown length of a side of a triangle depends on what other information is given. In general, you need one side, one angle, and at least one other side or angle.

Solving a triangle usually is introduced with the Pythagorean theorem. For a <em>right triangle</em>, it tells you ...

  the square of the hypotenuse is equal to the sum of the squares of the other two sides.

If the side lengths are a, b and the hypotenuse is c, then ...

  c² = a² + b²

Solving for the hypotenuse, c, you have ...

  c = √(a² +b²)

Solving for one side, a, you have ...

  a = √(c² -b²)

__

Occasionally, you're asked to find a measure of a triangle using the formula for area.

  A = 1/2bh

Solving for the base or height gives you ...

  b = 2A/h

  h = 2A/b

__

Once you learn trigonometry, additional methods are available for solving triangles. The <em>Law of Sines</em> tells you ...

  a/sin(A) = b/sin(B) = c/sin(C)

where angles A, B, C are opposite sides a, b, c, respectively.

And the <em>Law of Cosines</em> tells you ...

  c² = a² +b² -2ab·cos(C) . . . . . . . . where sides and angles are as above

This can be rearranged by interchanging a, b, c, keeping the appropriate angle. For C = 90°, this reduces to the Pythagorean theorem.

For right triangles, the various trig relations can also be used to solve triangles. These are conveniently summarized in the mnemonic SOH CAH TOA. It is intended to remind you ...

  • Sin = Opposite/Hypotenuse
  • Cos = Adjacent/Hypotenuse
  • Tan = Opposite/Adjacent

__

In summary, depending on the given information, you choose an applicable formula, fill in the given information, and solve for the unknown. If you have more than one unknown, you may need to choose a different formula.

Darya [45]2 years ago
4 0

Answer:

add the other lenghts togethere and subtrack those 2 from 180 and bam

Step-by-step explanation:

You might be interested in
A newborn baby what weighs 3⁷ kilograms. An adult blue whale weighs 81 times the newborn. How many kilograms does the adult blue
kherson [118]

Answer:

2187

Step-by-step explanation: 27 times 81 equals 2187

7 0
2 years ago
Jamie takes at random a counter from the bag and records the colour. Red : blue : green = 1:3:7 Jamie does this a number of time
Sonbull [250]

Answer: There are 249 times Jamie takes a counter from the bag.

Explanation:

Since we have given that

Ratio of colour of red to blue to green is 1:3:7.

Number of blue counters = 68

Let the total number of times Jamie does from the bag be x.

So, According to question,

\frac{3}{11}\times x=68\\\\x=\frac{11}{3}\times 68\\\\x=249.33\\\\=249\ approx.

Hence, there are 249 times Jamie takes a counter from the bag.

8 0
3 years ago
NEED HELP ASAP 30 POINTS
klemol [59]
30 is the answer. You do 10X 3 which is 30- 2 which is 28 and 28 to the nearest 10th is 30
8 0
2 years ago
ZEARN MATH
joja [24]

Answer:

ok ill do it :-)

Step-by-step explanation:

3 0
3 years ago
Solve the following equation 8 = m - 12
Leviafan [203]

Answer:

123456789101112131415

6 0
2 years ago
Other questions:
  • What is the vertex and zeros of the function f(x)=x2−4x+3
    7·1 answer
  • Which graph represents the piecewise-defined function?
    8·1 answer
  • In a random sample of 200 students, 55% indicated they have full-time jobs, while the other 45% have part-time jobs. Fifty of th
    8·1 answer
  • PLEASE HELPPPP
    13·2 answers
  • (2,?) is on the line x + 3 = y. Find the other half of the coordinate.
    9·2 answers
  • I need help! Which one is different?
    15·2 answers
  • A turtle walks 7/8 of a mile what is the unit rate in miles per hour
    13·1 answer
  • What is √6/√5 in simplest radical form?
    13·2 answers
  • PLEASE HELP EMERGENCY what is the solution to the equation ^3 square root 2x+5 =5
    9·1 answer
  • 2 3/4 divided by ( -1 2/3
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!