Question

9 fill in the blank 1 point what is the area of the triangle? round your answer to the nearest tenth. area = type your answer... square units

Explanation:

Step1: Recall the formula for the area of a triangle with two sides and included angle

The formula is \(A=\frac{1}{2}bc\sin A\), where \(b\) and \(c\) are the lengths of two sides and \(A\) is the included angle. Here, \(b = 26\), \(c=22\), and \(A = 86^{\circ}\).

Step2: Substitute the values into the formula

$$
LATEXBLOCK0
$$

Since \(\sin(86^{\circ})\approx0.9976\)

$$
LATEXBLOCK1
$$

Step3: Round to the nearest tenth

Rounding \(285.3136\) to the nearest tenth gives \(285.3\)

Answer:

\(285.3\)