Find the area of this triangle. 65° 18 [?] square units Round to the nearest hundredth.

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter61: Areas Of Circles, Sectors, And Segments
Section: Chapter Questions
Problem 38A: Three pieces, each in the shape of a sector, are cut from the rectangular sheet of steel shown. How...
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**Find the area of this triangle.**

The image contains a triangle with the following features:

- One side of the triangle is labeled as 18 units.
- Another side of the triangle is labeled as 8 units.
- The angle between these two sides is labeled as 65 degrees.

The instructions below the triangle are:

**? square units**
Round to the nearest hundredth.

Below this text, there is a text entry box followed by an "Enter" button. This is likely for inputting the calculated area.

To solve for the area of a triangle given two sides and the included angle, you can use the formula:

\[
\text{Area} = \frac{1}{2}ab\sin(C)
\]

where:
- \(a\) and \(b\) are the lengths of the sides (8 and 18 units respectively)
- \(C\) is the included angle (65 degrees)
Transcribed Image Text:**Find the area of this triangle.** The image contains a triangle with the following features: - One side of the triangle is labeled as 18 units. - Another side of the triangle is labeled as 8 units. - The angle between these two sides is labeled as 65 degrees. The instructions below the triangle are: **? square units** Round to the nearest hundredth. Below this text, there is a text entry box followed by an "Enter" button. This is likely for inputting the calculated area. To solve for the area of a triangle given two sides and the included angle, you can use the formula: \[ \text{Area} = \frac{1}{2}ab\sin(C) \] where: - \(a\) and \(b\) are the lengths of the sides (8 and 18 units respectively) - \(C\) is the included angle (65 degrees)
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