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marshall27 [118]
3 years ago
13

Find the area of the triangle whose vertices are (0,4) , (0,0) and (2,0) by plotting them on graph

Mathematics
1 answer:
Luden [163]3 years ago
4 0

Refer to the attached image. Since one vertex is the origin and the other two lay on the coordinate axes, the triangle is a right triangle. This means that, if we consider AB to the be base, AC is his height, and vice versa.

Anyway, it means that the area is given by

A = \cfrac{\overline{AB}\times\overline{AC}}{2}

Since AB is a horizontal segment and AC is a vertical segment, their length is given by the absolute difference of the non-constant coordinate: points A and B share the same x coordinate, so we subtract the y coordinates:

\overline{AB} = |2-0| = |2| = 2

The opposite goes for AC: points A and C share the same y coordinate, so we subtract the x coordinates:

\overline{AC} = |4-0| = |4| = 4

So, the area is

A = \cfrac{2\times 4}{2} = 4

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I can’t figure this out at all.
Liula [17]
The fact that this triangle is a right angle triangle makes you now have 2 angles and the 1 side given, so it should be solvable.
First, You know that A=46 and C=90 as it is the right angle, and you know that the sum of any triangle's angles is 180. so now B=180-(90-46)=44
Now to the sides,
sin(B)=opp./hyp.=b/c=8/c=sin(44)
so, c=8/sin(44) which is approximately 11.52 unit length
now, use Pythagoras to find a,
a=√c²-b² =√11.52²-8² which is approximately 8.3 unit length.
Hope this helps.

6 0
3 years ago
Dale made a scale drawing of a house and its lot. The scale he used was 1 inch: 7 feet. The actual length of the backyard is 35
Kipish [7]

Answer:

5

Step-by-step explanation:

<em>35/7=5 </em>

8 0
3 years ago
Consider the relationship between the place values of the 3s in this number.
Lemur [1.5K]
C. the three in the hundredths place is ten times greater than the 3 in the tenths place
7 0
3 years ago
PLEASE HELP!!!!!!!!!!!!!!!!
mamaluj [8]

Answer: A I think and sorry if I got it wrong

7 0
3 years ago
Read 2 more answers
What is the x-intercept of the line containing the points (-6,10) and (12,-2)?
yKpoI14uk [10]

Answer:

x = 9 is the x-intercept.

Step-by-step explanation:

We have given the coordinates (-6,10) and (12,-2).

We have to find the  x-intercept of the line containing these points.

First we find the slope m by using these points.

We know that m = (y₂-y₁)/(x₂-x₁)

m = -2/3

The general form of the equation of line is :

y = mx + c

Where c is the y intercept.

Using the first coordinate to find c .

10 = (-2/3)(-6) +c

c = 6

So, the required equation is :

y = (-2/3)x+6

We have to find the x-intercept.

For this we put y=0

(-2/3)x+6 = 0

2/3 x = 6

x  = 6(3/2)

x = 9 is the x-intercept.

5 0
3 years ago
Read 2 more answers
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