Question

1. find the area of triangle ghi

Explanation:

Step1: Find the measure of angle \(G\)

The sum of angles in a triangle is \(180^{\circ}\). So, \(\angle G=180^{\circ}-(74^{\circ} + 28^{\circ})=78^{\circ}\)

Step2: Use the formula \(A=\frac{1}{2}ab\sin C\)

Here, \(a = 7.3\), \(b=11.4\), and \(C = 28^{\circ}\) (we can also use other pairs of sides and included angles, the result will be the same).

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We know that \(\sin(28^{\circ})\approx0.4695\)

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Answer:

The area of triangle \(GHI\) is approximately \(19.64\space cm^{2}\)