Find the area of the following parallelograms and triangles. **Mathematics: Finding the Area of Parallelograms and Triangles****Objective:**Learn how to find the area of parallelograms and triangles using the provided dimensions.**Instructions:**You are provided with three geometric figures. Calculate the area of each figure using the appropriate formulas.**Figures:**1. **Triangle:** - A right triangle is shown. - The height (perpendicular) is 15 units. - The base is 9 units. **Formula:** \[ \text{Area of a triangle} = \frac{1}{2} \times \text{base} \times \text{height} \]2. **Parallelogram:** - A parallelogram is shown. - The height (perpendicular from the base) is 4 units. - The base is 12 units. **Formula:** \[ \text{Area of a parallelogram} = \text{base} \times \text{height} \]3. **Parallelogram:** - A parallelogram is shown. - The height (perpendicular from the base) is 2 units. - The base is 2 + 2 = 4 units. **Formula:** \[ \text{Area of a parallelogram} = \text{base} \times \text{height} \]Calculate the areas using the dimensions provided and verify your answers with the given formulas. This exercise will aid in understanding the calculation of areas for different geometric shapes.

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Answered: Find the area of the following…

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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Find the area of the following parallelograms and triangles.

**Mathematics: Finding the Area of Parallelograms and Triangles**

**Objective:**
Learn how to find the area of parallelograms and triangles using the provided dimensions.

**Instructions:**

You are provided with three geometric figures. Calculate the area of each figure using the appropriate formulas.

**Figures:**

1. **Triangle:**
- A right triangle is shown.
- The height (perpendicular) is 15 units.
- The base is 9 units.

**Formula:**
\[
\text{Area of a triangle} = \frac{1}{2} \times \text{base} \times \text{height}
\]

2. **Parallelogram:**
- A parallelogram is shown.
- The height (perpendicular from the base) is 4 units.
- The base is 12 units.

**Formula:**
\[
\text{Area of a parallelogram} = \text{base} \times \text{height}
\]

3. **Parallelogram:**
- A parallelogram is shown.
- The height (perpendicular from the base) is 2 units.
- The base is 2 + 2 = 4 units.

**Formula:**
\[
\text{Area of a parallelogram} = \text{base} \times \text{height}
\]

Calculate the areas using the dimensions provided and verify your answers with the given formulas. This exercise will aid in understanding the calculation of areas for different geometric shapes.

Polygon with three sides, three angles, and three vertices. Based on the properties of each side, the types of triangles are scalene (triangle with three three different lengths and three different angles), isosceles (angle with two equal sides and two equal angles), and equilateral (three equal sides and three angles of 60°). The types of angles are acute (less than 90°); obtuse (greater than 90°); and right (90°).

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