Question

find the area of △vwx.
write your answer as an integer or as a decimal rounded to the nearest tenth.
cm²

Explanation:

Step1: Recall the formula for the area of a triangle

The formula for the area of a triangle when two sides \(a\), \(b\) and the included angle \(\theta\) are known is \(A=\frac{1}{2}ab\sin\theta\). Here, \(a = 21\space cm\), \(b=38\space cm\) and \(\theta = 28^{\circ}\).

Step2: Substitute the values into the formula

Substitute \(a = 21\), \(b = 38\) and \(\theta=28^{\circ}\) into \(A=\frac{1}{2}ab\sin\theta\).

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First, calculate \(\frac{1}{2}\times21\times38= 21\times19 = 399\).
Then, \(A=399\times0.469558\)

Step3: Calculate the final value

\(A = 399\times0.469558\approx187.4\)

Answer:

\(187.4\)