Find the area of the triangle.
Area
square units (Round to decimal places!)

Given:

Given that the triangle with ∠B = 45°

The length of the side a is 4 units.

The length of the side c is 8 units.

We need to determine the area of the triangle.

Area of the triangle:

The area of the triangle can be determined using the formula,

Substituting a = 4, c = 8 and ∠B = 45° in the above formula, we have;

Simplifying, we get;

Thus, the area of the triangle is 11.31 square units.

x = (5 + sqrt(73))/8 or x = (5 - sqrt(73))/8

Step-by-step explanation:

Solve for x over the real numbers:

4 x^2 - 5 x = 3

Subtract 3 from both sides:

4 x^2 - 5 x - 3 = 0

x = (5 ± sqrt((-5)^2 - 4×4 (-3)))/(2×4) = (5 ± sqrt(25 + 48))/8 = (5 ± sqrt(73))/8:

x = (5 + sqrt(73))/8 or x = (5 - sqrt(73))/8