Question

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

Answer 1

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,

$Area = \frac{1}{2} ac \ sin B$

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

$Area = \frac{1}{2} (4)(8) \ sin 45^{\circ}$

Simplifying, we get;

$Area = \frac{1}{2} (4)(8) (0.707)$

$Area = \frac{1}{2} (22.624)$

$Area = 11.31$

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