Question

find the area of the triangle having the indicated sides and angle. round your answer to two decimal places.

a = 29°, b = 49, c = 50

area = square units

Explanation:

Step1: Recall the formula for the area of a triangle

The formula for the area of a triangle when two sides \(b\), \(c\) and the included angle \(A\) are known is \(Area=\frac{1}{2}bc\sin A\).

Step2: Substitute the given values into the formula

Given \(b = 49\), \(c = 50\), and \(A=29^{\circ}\). First, find \(\sin(29^{\circ})\). Using a calculator, \(\sin(29^{\circ})\approx0.4848\). Then substitute into the formula:

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Step3: Calculate the final value

\(Area = 593.88\)

Answer:

\(593.88\)