Formula to find the area of a triangle = × base × height
For triangles A, B and D, the base occupies 4 squares and the height occupies 4 squares.
Therefore, area = × 4 × 4
= 2 × 4 = 8 sq. units
For triangle E, base occupies 2 squares and height occupies 8 squares.
Therefore, area = × 2 × 8
= 8 sq. units
For triangle C, base occupies 3 squares and height occupies 5 squares.
Therefore, area = × 3 × 5
= 7.5 sq. units
Hence, triangles whose area is 8 sq. units are A, B, D and E.
Answer:
Step-by-step explanation:
Given
Required
Determine the value of k
First, we need to determine the equation of g(x)
Start by calculating the slope (m)
Where x and y are two corresponding values:
The slope (m) is:
The equation is calculated using:
Where
and
Make y the subject of formula
So:
Next, we determine the equation of f(x)
Start by calculating the slope (m)
Where x and y are two corresponding values:
The slope (m) is:
The equation is calculated using:
Where
and
Make y the subject of formula
So:
Recall that
Make k the subject
Substitute values for g(x) and f(x)
Decimal Form:
0.92387953
exact form (\sqrt(2+2\sqrt(2)))/(2)