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
Related questions
Question
can someone help? for (a) its using the equation A = 1/2 ab sin C
![### Area of Triangles
#### 1. Calculate the Area of the Following Triangles:
**(a)**
- This triangle has a base of 5 cm and a height of 3 cm.
- The triangle includes a 45° angle.
#### 2. Work Out the Area of the Following Isosceles Triangles:
**(a)**
- This isosceles triangle has two equal sides, each measuring 6 cm.
- It has a height marked as a dashed line from the vertex opposite the base to the midpoint of the base.
- The height forms a right angle with the base.
- The angle adjacent to the height is 15°.
**(b)**
- This part is not visible in the image provided.
For an educational resource about calculating the area of triangles:
- **Step-by-Step Instructions:**
1. Identify the base and height of the triangle.
2. Use the formula: Area = 1/2 × Base × Height.
3. For triangles involving angles and sides, trigonometric methods can be applied.
- **Graph/Diagram Explanation:**
- **(1a)** shows a right triangle with specified measurements for base (5 cm), height (3 cm), and one angle being 45°.
- **(2a)** shows an isosceles triangle with each equal side measuring 6 cm, the height of the triangle marked explicitly, forming two right triangles within the isosceles triangle, and an internal angle of 15°.
Feel free to access the video lecture titled "The Maths Prof: Area of Triangle (Trigonometry 1/2 x..." hosted on classroom.google.com for a detailed visual explanation.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F00c239b2-49f2-4118-83c1-4fc31b3c935a%2Fb4231445-1f75-4d63-859b-cc648d7fdb83%2F7osf7r_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Area of Triangles
#### 1. Calculate the Area of the Following Triangles:
**(a)**
- This triangle has a base of 5 cm and a height of 3 cm.
- The triangle includes a 45° angle.
#### 2. Work Out the Area of the Following Isosceles Triangles:
**(a)**
- This isosceles triangle has two equal sides, each measuring 6 cm.
- It has a height marked as a dashed line from the vertex opposite the base to the midpoint of the base.
- The height forms a right angle with the base.
- The angle adjacent to the height is 15°.
**(b)**
- This part is not visible in the image provided.
For an educational resource about calculating the area of triangles:
- **Step-by-Step Instructions:**
1. Identify the base and height of the triangle.
2. Use the formula: Area = 1/2 × Base × Height.
3. For triangles involving angles and sides, trigonometric methods can be applied.
- **Graph/Diagram Explanation:**
- **(1a)** shows a right triangle with specified measurements for base (5 cm), height (3 cm), and one angle being 45°.
- **(2a)** shows an isosceles triangle with each equal side measuring 6 cm, the height of the triangle marked explicitly, forming two right triangles within the isosceles triangle, and an internal angle of 15°.
Feel free to access the video lecture titled "The Maths Prof: Area of Triangle (Trigonometry 1/2 x..." hosted on classroom.google.com for a detailed visual explanation.
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