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
ollegr [7]
3 years ago
10

What is the area of the triangle in the diagram?

Mathematics
2 answers:
Vladimir [108]3 years ago
5 0

1/2sqrt((x_1^2+y_1^2)(x_2^2+y_2^2))

The area of a triangle is equal to 1/2bh (one half base times height). Since this is a right triangle, the base and height are the two legs connected to the 90* angle. To find the values of these sides, we will use Pythagorean Theorem, root a squared plus b squared.

Short leg: <x(1),y(1)>

This leg can be seen as the hypotenuse of an invisible right triangle. The x value, x(1), is how far over the x value has gone from the origon at x=0. Imagine a leg alone the x-axis, going from (0,0) to (x(1),0). The y value of the point, y(1), works the same way. This leg will go from our previous mark at (x(1),0) to the point (x(1),y(1)). This shows that the short leg of the main triangle is the hypotenuse, with a height of y(1) and base of x(1). Pythagoreum Theorem shows that the length of this leg is equal to sqrt(x_1^2+y_1^2).

Long leg: <x(2), y(2)>

The same process works here, giving us sqrt(x_2^2+y_2^2).

Now for the area, we have the b and h values. Our equation reads 1/2sqrt(x_1^2+y_1^2)sqrt(x_2^2+y_2^2).

But we can simplify this (yay). The two square roots can be written together as sqrt((x_1^2+y_1^2)(x_2^2+y_2^2))

So the correct answer is 1/2sqrt((x_1^2+y_1^2)(x_2^2+y_2^2))

sp2606 [1]3 years ago
5 0

Answer:

A

Step-by-step explanation:

You might be interested in
JUHE
Amanda [17]
The answer is 21 because that’s when I finally touch a goldfish
8 0
3 years ago
Read 2 more answers
Which relationship describes angles 1 and 2?
umka2103 [35]
I belive its B,and D,
B because, the lines are supplementary(because supplementary means it equal 180 degrees in length, which is those two angles.)
D, because they are put in such an angle in which making them adjecant.
Hope I helped:-) Bye bye.
8 0
3 years ago
Read 2 more answers
You want to place a towel bar that is 10 1⁄4 inches long in the center of a door that is 26 1⁄3 inches wide. How far should you
attashe74 [19]
The bar should be 8 1/24 from the each edge of the door.

We need to subtract 10 1/4 from 26 1/3 to get the fraction of the space not covered by the towel bar. 
We also need to divide the difference by 2 because we placed the towel bar in the center of the door.

1st we need to convert the mixed fractions into fractions to perform subtraction.
26 1/3 = ((26*3)+1)/3 = 79/3
10 1/4 = ((10*4)+1)/4 = 41/4

Steps in Subtracting Fractions
Step 1. Make sure the denominator is the same. 3 and 4 are the denominators, they are not the same but they are factor of 12. So,
79/3 must be multiplied by 4 = 79 * 4 / 3 * 4 = 316 / 12
41/4 must be multiplied by 3 = 41 * 3 / 4 * 3 = 123 / 12

Step 2. Subtract the numerators and place them above the common denominator
316/12 - 123/12 = 316 - 123 / 12 = 193 / 12

Before we can simplify the fraction, we must divide it by two to get the measurement of each edge of the door.

Steps in dividing fractions.
Step 1. Get the reciprocal of the 2nd fraction.
1st fraction : 193 / 12
2nd fraction : 2 /1  ⇒ reciprocal 1/2

Step 2. Multiply the 1st fraction to the reciprocal of the 2nd fraction
193 / 12 * 1/2 = 193 * 1 / 12 * 2 = 193 / 24

Step 3. Simplify the fraction.
193 / 24 = 8 1/24
8 0
3 years ago
What is the range of f(x)=15(1/3)^x
wel

Answer:

(0,inf)   {y║y>0}

Step-by-step explanation:

8 0
3 years ago
5x - 13 = - 13 + 5x ​
never [62]

Answer: 0=0

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Other questions:
  • 0:4
    11·1 answer
  • DESPERATE! Please answer any of the questions :(( And explain bc im super confused
    6·1 answer
  • Mr. Gonzalez bought 5 pounds of grapes for $15.How much did he spend per pound?
    7·1 answer
  • The cost of a pack of chewing gum in a vending machine is $0.75.The cost of a bottle of juice in the same machine is $1.25.Julia
    6·2 answers
  • HELP NEEDED ASAP!!!!! WILL GIVE BRAINLIEST!!!!!
    8·2 answers
  • What is the slope of the line passing through the point (2,1) and the origin ?
    15·1 answer
  • Simplify x2 + 12x + 35/3x + 15
    13·1 answer
  • jasmine bought wax that will cover 400 square feet per gallon. jasmine needs to wax 4704 square foot surface with 2 coats of wax
    8·1 answer
  • What is a simple way to find 12 mod 7 + 12 mod 7 + 12 mod 7 + 12 mod 7?
    7·1 answer
  • How can i simplify 8(3x + 8)
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!