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
svp [43]
3 years ago
9

PLEASE HELP ME!!!!

Mathematics
1 answer:
Damm [24]3 years ago
7 0

Answer:

  • sin C=h/a
  • substitution property of equality
  • commutative property of multiplication

Step-by-step explanation:

Because two points determine a line, you can draw altitude​ BD perpendicular to AC with height h. By the definition of a sine ratio, <u>sin(C) = h/a</u>, which can be rearranged into​ a·sin(C) = h​. The area of △ABC is A=1/2bh. The <u>substitution property of equality</u> can be used to write A=1/2b(a sinC), which becomes A=1/2ab(sinC) by the <u>commutative property of multiplication</u>.

___

The mnemonic SOH CAH TOA reminds you that the sine ratio is ...

  Sin = Opposite/Hypotenuse

Here, the side of the right triangle opposite angle C is designated "h", the height of ∆ABC. The hypotenuse of that right triangle is side "a". So ...

  sin(C) = h/a

__

The substitution property of equality lets you replace any expression with its equal. Here, we have h=a·sin(C), so we can use a·sin(C) in place of h in the formula for triangle area:

  1/2bh = 1/2ba·sin(C)

__

The commutative property of multiplication lets you rearrange the order of the factors in a product, so ...

  ba = ab

and

  A = 1/2ba·sin(C) = 1/2ab·sin(C)

You might be interested in
The two cones are congruent. Determine the unknown measures of the cones. A = units B = units C = units D = units
Maksim231197 [3]

Answer:

3.1

4.2

5.2

42

Step-by-step explanation: Just copy the other cone and find half of the diameter to find the radius the cones are congruent.

4 0
3 years ago
Read 2 more answers
In the coordinate plane, ABCD has vertices with coordinates A(1,-1), B(-5,3), C(-3,6),
Nana76 [90]

Answer:

C

Step-by-step explanation:

6 0
3 years ago
Solve (9xy+5) (8xy+7)
Maurinko [17]
It’s gonna look like that

7 0
3 years ago
5. Given the following triangle side lengths, identify the triangle as acute, right or obtuse. Show your work. a. 3in, 4in, 5 in
Keith_Richards [23]
The answer to the question is D
6 0
3 years ago
Read 2 more answers
PLEASE HELP ASSSAAAPPPPP
Elis [28]
B. would be your answer, I'm almost 100% sure.

Brainliest?
It would mean a lot!
6 0
3 years ago
Other questions:
  • If a $1,200 investment earns $210 over 5 years, what is the annual interest rate?
    13·1 answer
  • Just look at the pic and I'll give you points if you answer it Thanks bye
    14·1 answer
  • It costs a baker $18 to make a small cake he sells eight small cakes for $240 how much more is the selling price of each cake th
    6·2 answers
  • What is the answer to the expression (7x- 5)
    9·1 answer
  • 23+15=7<br>29+21=8<br>12+15=6<br>74+12=? ​
    5·2 answers
  • I've been stuck on this question for 3 days ;&lt; halp meh ples
    5·1 answer
  • PLS HELP ME WITH THIS
    13·1 answer
  • There are approximately 400 million trees currently growing in the Amazon Rainforest, which covers approximately 5.5 million squ
    10·1 answer
  • HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
    14·2 answers
  • Which describes the intersection of the plane A and line M?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!