find the area of this triangle. 17 31° 20 ? square units round to the nearest hundredth.

Question

Accepted Answer

# Explanation:
## Step1: Recall the formula for the area of a triangle
The formula for the area of a triangle with two sides $a$, $b$ and included angle $\theta$ is $A=\frac{1}{2}ab\sin\theta$. Here $a = 20$, $b=17$, and $\theta = 31^{\circ}$.
## Step2: Substitute the values into the formula
$$
\begin{align*}
A&=\frac{1}{2}\times20\times17\times\sin(31^{\circ})\
\end{align*}
$$
We know that $\sin(31^{\circ})\approx0.5150$ (using a calculator).
$$
\begin{align*}
A&=\frac{1}{2}\times20\times17\times0.5150\
&= 10\times17\times0.5150\
&=170\times0.5150\
& = 87.55
\end{align*}
$$

# Answer:
$87.55$

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Question

Explanation:

Step1: Recall the formula for the area of a triangle

Step2: Substitute the values into the formula

Answer: