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
Of five letters (a, b, c, d, and e), two letters are to be selected at random without replacement. how many possible selections
san4es73 [151]
Sent a picture of the solution to the problem (s). I sent the formula because I do not know if your calculator has the combination function. You will notice the denominator. I got it by the 2 picks you make and the 3 from what is left over. The 5 is from the total selection.

3 0
3 years ago
The entry fee to an Amusement Park is $125 and the cost of each ride is $ 7.25 ( Mon - Thurs) and $ 8.50 ( Fri - Sun). Ava's mom
icang [17]

Answer:

D

Step-by-step explanation:

Well it is Friday so its 8.5 each ride.

8.5r which is basically how many rides she can go on after spending 125 on the admission

8 0
3 years ago
Can someone help me please
zavuch27 [327]

Answer:

C

\:  \\ diameter  = 4ft  \\ \: raduis \:  =  \frac{diameter}{2}  \\ raduis  =  \frac{4ft}{2} = 2ft \\ c = 2\pi \: r \\ c = 2\pi2ft \\ c = 4\pi \: ft \\ c = 4 \times 3.14 = 12.56ft

8 0
2 years ago
Mrs. Olive used 1 2/5 quarts of syrup and 5 3/10 quarts of water to make lemonade. How many quarts of lemonade did she make? * A
Flura [38]

Answer:

B. 6 7/10

Step-by-step explanation:

We solve the above y by carrying out addition.

The quarts of Lemonade she made is calculated as:

1 2/5 quarts of syrup + 5 3/10 quarts of water

= 1 + 5 + (2/5 + 3/10)

Lowest common denominator = 10

= 6 ( 4 + 3/10)

= 6 7/10 quarts of Lemonade

Mrs Olive made 6 7/10 quarts of Lemonade

3 0
3 years ago
A number cube with the numbers 1 through 6 is rolled. What is the probability of the number cube showing an even number or a num
inna [77]

Answer:

Step-by-step explanation:

The correct answer is 5/6 = 83.3%

I really hope this helps!

8 0
3 years ago
Other questions:
  • F(x)=x^(2)+6x-78 completing the square<br><br> fill in the blanks:<br><br> f(x)=(x+blank)^2+blank
    8·1 answer
  • WILL GIVE BRAINLIEST ANSWER!!!! Algebra 2!!! Please Help!! EQUATION SHOWN!!!!
    6·1 answer
  • What does the coordinate rule for making two similar shapes relate to the scale factor
    5·1 answer
  • 2 pears cost as much as 3 apples.if the total cost of 2 pears and 3 apples is $2,what is the cost of 12 apples?
    15·1 answer
  • WILL GOVE BRAINIEST Kim and Tegan train for the iron man on the weekend. They bike at a constant rate of miles per hour. The tab
    7·1 answer
  • Which fraction is equivalent to 2/4​
    8·2 answers
  • Let P= {8, 9, 10, 11, 12), Q = {9, 10, 11), and R = {5, 6}.<br>Find P∪O.​
    6·1 answer
  • Sheila has 14 1/2 pounds of potato salad. She wants to divide the potato salad into containers, each of which holds 1 1/4 pounds
    5·1 answer
  • Helppppppppppppppppp
    8·1 answer
  • What is the simplified version of<br> 6x-3y+8x-5y
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!