Answer:
17.728
Step-by-step explanation:
Answer:
Area of Δ ABC = 21.86 units square
Perimeter of Δ ABC = 24.59 units
Step-by-step explanation:
Given:
In Δ ABC
∠A=45°
∠C=30°
Height of triangle = 4 units.
To find area and perimeter of triangle we need to find the sides of the triangle.
Naming the end point of altitude as 'O'
Given 
For Δ ABO
Since its a right triangle with one angle 45°, it means it is a special 45-45-90 triangle.
The sides of 45-45-90 triangle is given as:
We are given BO (Leg 1) 
∴ AO (Leg2) 
∴ AB (hypotenuse)
For Δ CBO
Since its a right triangle with one angle 30°, it means it is a special 30-60-90 triangle.
The sides of 30-60-90 triangle is given as:
We are given BO (side opposite 30° angle) 
CO (side opposite 60° angle) 
BC (Hypotenuse) 
Length of side AC is given as sum of AO and CO

Perimeter of Δ ABC= Sum of sides of triangle
⇒ AB+BC+AC
⇒ 
⇒
units
Area of Δ ABC = 
⇒ 
⇒
units square
Answer:
slope = 
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
2x - 3y = 12 ( subtract 2x from both sides )
- 3y = - 2x + 12 ( divide all terms by - 3 )
y =
x - 4 ← in slope- intercept form
with slope m = 