Answer:
The answer to your question is Ф = 45°
Step-by-step explanation:
Data
A (1, 4)
B (-1, 2)
Process
1.- Find the slope of the line
formula
m =
Substitution
m =
Slope definition, is the steepness of a line and also is the tangent of the angle of the line.
tangent Ф = slope
tangent Ф = 1
Ф = tangent⁻¹ 1
Ф = 45°
Diagonal of the parallelogram divides the parallelogram in to two equal areas.
So area of parallelogram = 2(area of triangle)
According to the given diagram,
AB= 8, AD = 5 and BD = 11
So according to the Heron's formula,
Area of triangle =
and a, b and c are the three sides of the triangle
Area of triangle ABD =
So, area of parallelogram ABCD = 2(area of triangle ABD)
area of parallelogram ABCD = 2 (18.33)
area of parallelogram ABCD = 36.66
area of parallelogram ABCD = 36.7 sq. units
