The area and perimeter of the triangle is 2/5 square units and (2√10 + 4√5) / 5 units
<h3>Determining the perimeter and area of the triangle giving line equation</h3>
In order to determine the area and perimeter of the lines, we will plot the giving lines, determine the point of intersection and then use the Pythagoras theorem to determine the dimension of the right triangle.
The points of intersection of the line are;
(x₁, y₁) = (- 0.4, 5.2),
(x₂, y₂) = (-0.8, 4.4),
(x₃, y₃) = (0, 4)
Determine the base
b² = c² -a²
b = √(-0.8)² + (4 - 4.4)²
b = 2√5 / 5
Determine the height
h = √((- 0.4) - (- 0.8))² + (5.2 - 4.4)²
height = 2√5 / 5
For the hypotenuse
r = √2 · b
r = 2√10 / 5
<h3>Determine the Perimeter and area</h3>
Perimeter = s1+s2+s3
Perimeter = 2√5 / 5 + 2√5 / 5 + 2√10 / 5
Perimeter = (2√10 + 4√5) / 5 units
<u>For the area</u>
area = 1/2* base * height
A = 0.5 · (2√5 / 5) · (2√5 / 5)
A = 2/5 square units
Hence the area and perimeter of the triangle is 2/5 square units and (2√10 + 4√5) / 5 units
Learn more on area and perimeter of triangles here: brainly.com/question/12010318
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Answer
The initial temperature was T = -7 degrees
Step-by-step explanation:
Let the initial temperature be T.
- The tempature was very cold
Temperarure = T
- Then it doubled
Temperature = 2T
- Then it dropped 10 degrees
Temperature = 2T - 10
- And then it increased by 40 degrees.
Temperature = 2T - 10 + 40 = 2T + 30
The tempature is now 16 degrees
Temperature = 16 degrees
2T + 30 = 16
2T = -14
T = -7 degrees
Hope this Helps!!!
m∠A = 40
Step-by-step explanation:
Given AB =AC and m∠B = 70
Since AB =AC , Triangle ABC is an isosceles Triangle and the corresponding angles B and C are equal.
So m∠B = m∠C = 70
The sum of the 3 Angles of a triangle is 180°.
=> m∠A + m∠B + m∠C = 180
=> 140 + m∠C = 180
=> m∠C = 40
Hence the answer is m∠C = 40
(5,7) (5,4) (7,4) hope that helps