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nlexa [21]
3 years ago
8

What is the area of a triangle with vertices at (-2,1), (2,1), and (3,4)

Mathematics
1 answer:
Advocard [28]3 years ago
3 0

The area of a triangle is determined by the formula: Base x Height * 1/2

You'll need to assign a base to the triangle. Based on the vertices given, the simplest base would be the line segment from (-2,1) to (2,1). The distance between any two numbers is found by just subtracting them. Here, you should subtract the x values to find the distance of this side.

2 - (-2) = 4.

So the distance (aka the length of the base) is 4. The height of the triangle is the distance between the base and the highest point on the triangle which is (3,4). We should subtract the y values this time to find the height/distance.

4 - 1 = 3

So the height is 3.

Base = 4

Height = 3

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Angles A and B are complementary angles in a right triange. The value of cos(A) is 12/13. What is the value of Tan(A)
Orlov [11]
Using the pythagorean identity, we can find the value of sin(A)

cos^2(A) + sin^2(A) = 1
(12/13)^2 + sin^2(A) = 1
144/169 + sin^2(A) = 1
sin^2(A) = 1 - 144/169
sin^2(A) = 169/169 - 144/169
sin^2(A) = (169 - 144)/169
sin^2(A) = 25/169
sin(A) = sqrt(25/169)
sin(A) = 5/13

Which is then used to find tan(A)

tan(A) = sin(A)/cos(A)
tan(A) = (5/13) divided by (12/13)
tan(A) = (5/13)*(13/12)
tan(A) = (5*13)/(13*12)
tan(A) = 5/12

The final answer is 5/12

5 0
3 years ago
Complete the ratio<br> 4 : 32 = 1 : ?
zavuch27 [327]

Answer:

1: 8

Step-by-step explanation:

4 : 32

Divide both the left and right side by 4

4/4 =1

32/4 = 8

4:32  becomes  1:8

6 0
3 years ago
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How long is the base of a parallelogram with an area of 50 square feet and a height of 10 feet
Gnesinka [82]

Answer:

b=5ft

Step-by-step explanation:

Height: 10

Area: 50

Solved for base

Shape: Parallelogram

Formula: Height/10= 5

1: 50 divided by 10 = 5

Answer is 5

Hope this helps.

3 0
3 years ago
Find the value of x.
andrey2020 [161]

Answer:

sum of an exterior angle is 360

2x+56+85+57+4x=360

6x+198=360

6x=360-198

6x=162

x=162/6

x=27

7 0
2 years ago
help please i dont know how to do this the screenshot should have everything i dont know alot this is my first time doing a ques
MatroZZZ [7]

Answer:

it's D

Step-by-step explanation:

it's d because if 74 would be the same as the left side next to x and if you turn that into a problem like 180-74 and I got 180 cause half of a circle is 180 and then my answer would be 106 I'm not good at explaining but it's d

5 0
3 years ago
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