Question

question in △efg, f = 88 cm, g = 18 cm and ∠e = 68°. find the area of △efg, to the nearest square centimeter. answer attempt 1 out of 2 cm² submit answer watch video show examples

Explanation:

Step1: Recall area - formula for a triangle

The formula for the area of a triangle with two - side lengths \(f\) and \(g\) and included angle \(\angle E\) is \(A=\frac{1}{2}fg\sin E\).

Step2: Substitute the given values

We are given that \(f = 88\mathrm{cm}\), \(g = 18\mathrm{cm}\), and \(\angle E=68^{\circ}\). First, find the value of \(\sin E=\sin68^{\circ}\approx0.9272\). Then substitute \(f = 88\), \(g = 18\), and \(\sin E\approx0.9272\) into the formula \(A=\frac{1}{2}fg\sin E\). So \(A=\frac{1}{2}\times88\times18\times0.9272\).

Step3: Calculate the area

First, \(\frac{1}{2}\times88\times18 = 792\). Then \(A = 792\times0.9272\approx734.34\). Rounding to the nearest square - centimeter, \(A\approx734\mathrm{cm}^{2}\).

Answer:

734