Hey what’s the answer to this **Find the Area of this Triangle**To calculate the area of the given triangle, use the following information and steps:### Given:- One side length: 6 units- One side length: 13.5 units- Included angle between these two sides: 17°### Diagram Description:The diagram is a triangle with a base of 6 units on the bottom. The left angle at the base is labeled as 17°. The hypotenuse (longest side) measures 13.5 units.### Formula:To find the area of a triangle using two sides and the included angle, use the following formula:\[ \text{Area} = \frac{1}{2}ab \sin(C) \]where:- \( a \) and \( b \) are the lengths of the two sides.- \( C \) is the included angle between these sides.- \( \sin \) is the sine function.### Calculation:Substitute the given values into the formula:\[ \text{Area} = \frac{1}{2} \times 6 \times 13.5 \times \sin(17^\circ) \]**Steps:**1. Calculate the sine of 17 degrees.2. Multiply the sine value by 6 and 13.5.3. Divide the product by 2.### Result:Round your answer to the nearest hundredth.\[ \text{Area} = \boxed{?} \text{ square units} \]### Instructions:- **Round to the nearest hundredth.**- **Enter your answer in the box provided.**\[ \_\_\_\_\_\_\_\_\_\_\_\_\_\_ [Enter] \]

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Answered: Find the area of this triangle. 17° 6…

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Find the area of this triangle. 17° 6 13.5 [?] square units Round to the nearest hundredth. Enter

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter62: Volumes Of Prisms And Cylinders

Section: Chapter Questions

Problem 38A: A copper casting is in the shape of a prism with an equilateral triangle base. The length of each...

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Hey what’s the answer to this

**Find the Area of this Triangle**

To calculate the area of the given triangle, use the following information and steps:

### Given:
- One side length: 6 units
- One side length: 13.5 units
- Included angle between these two sides: 17°

### Diagram Description:
The diagram is a triangle with a base of 6 units on the bottom. The left angle at the base is labeled as 17°. The hypotenuse (longest side) measures 13.5 units.

### Formula:
To find the area of a triangle using two sides and the included angle, use the following formula:
\[ \text{Area} = \frac{1}{2}ab \sin(C) \]
where:
- \( a \) and \( b \) are the lengths of the two sides.
- \( C \) is the included angle between these sides.
- \( \sin \) is the sine function.

### Calculation:
Substitute the given values into the formula:

\[ \text{Area} = \frac{1}{2} \times 6 \times 13.5 \times \sin(17^\circ) \]

**Steps:**
1. Calculate the sine of 17 degrees.
2. Multiply the sine value by 6 and 13.5.
3. Divide the product by 2.

### Result:
Round your answer to the nearest hundredth.

\[ \text{Area} = \boxed{?} \text{ square units} \]

### Instructions:
- **Round to the nearest hundredth.**
- **Enter your answer in the box provided.**

\[ \_\_\_\_\_\_\_\_\_\_\_\_\_\_ [Enter] \]

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