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1. Work out the area of the following triangles: (a) 45° 5 cm 3 cm

1. Work out the area of the following triangles: (a) 45° 5 cm 3 cm

Elementary Geometry For College Students, 7e
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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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.
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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