Question

Find the area of the triangle if Aequals11.5degrees​, bequals11.8 ​meters, and cequals6.3 meters.

Answer 1

Given that the measure of ∠A is 11.5°, b = 11.8 meters and c = 6.3 meters.

We need to determine the area of the triangle.

Area of the triangle:

The formula to determine the area of the triangle is given by the formula,

$A=\frac{1}{2}bc \ sin A$

Substituting the values, we get;

$A=\frac{1}{2}(11.8)(6.3)\ sin 11.5^{\circ}$

Simplifying the values, we get;

$A=\frac{1}{2}(11.8)(6.3)(0.199)$

Multiplying the values, we have;

$A=\frac{1}{2}(14.79366)$

Dividing, we get;

$A=7.4$

Thus, the area of the triangle is 7.4 m²