(Questions 7-8) A triangular prism ABCDEF has a base of the shape of an isosceles ABC with height 18 cm. AC= AB = 8 cm, BC- 6 cm. H is the midpoint of (BC), G is the midpoint of [AB) and I is the midpoint (EF). Sketch the prism. 18 cm 8 cm 8 cm 6 cm a. Connect point A and H. Find the area of the plane DAHI. O 120.4 O 142.8 O 110.2 O 1335
(Questions 7-8) A triangular prism ABCDEF has a base of the shape of an isosceles ABC with height 18 cm. AC= AB = 8 cm, BC- 6 cm. H is the midpoint of (BC), G is the midpoint of [AB) and I is the midpoint (EF). Sketch the prism. 18 cm 8 cm 8 cm 6 cm a. Connect point A and H. Find the area of the plane DAHI. O 120.4 O 142.8 O 110.2 O 1335
Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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![### Transcription and Explanation for Educational Use
**Problem Statement:**
(Questions 7-8) A triangular prism ABCDEF has a base in the shape of an isosceles triangle ABC with a height of 18 cm. The sides are given as AC = AB = 8 cm and BC = 6 cm. Points of interest include H, the midpoint of [BC]; G, the midpoint of [AB]; and I, the midpoint of [EF]. Sketch the prism.
**Diagram Description:**
- The diagram displays a triangular prism with base ABC.
- The height of point D from the base plane (triangle ABC) extends vertically.
- EF is parallel to the base ABC.
- Points H, G, and I are marked as midpoints on respective segments: H on [BC], G on [AB], and I on [EF].
**Task:**
a. Connect point A and H. Find the area of the plane DAHI.
**Options:**
- ☐ 120.4
- ☐ 142.8
- ☐ 110.2
- ☐ 133.5
The task requires identifying segment lengths and calculating the area of the new plane created by connecting A and H in the given triangular prism.
### Explanation of Diagram Features
- **Height of Prism (18 cm):** This is the vertical distance from the plane ABC to the top plane DEF.
- **Isosceles Triangle ABC:** With sides AC = 8 cm and AB = 8 cm, and a base BC = 6 cm.
- **Midpoints:** These are crucial for drawing lines and segments that divide the prism into smaller areas or sections.
For further geometric analysis, calculate any necessary segment lengths and use appropriate area formulas to determine the area of plane DAHI.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe8e08602-fa86-453e-99b8-0784e851ea9a%2F02424aa0-653d-4d75-9d65-a14ed3fb9798%2Fg7f19ja_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Transcription and Explanation for Educational Use
**Problem Statement:**
(Questions 7-8) A triangular prism ABCDEF has a base in the shape of an isosceles triangle ABC with a height of 18 cm. The sides are given as AC = AB = 8 cm and BC = 6 cm. Points of interest include H, the midpoint of [BC]; G, the midpoint of [AB]; and I, the midpoint of [EF]. Sketch the prism.
**Diagram Description:**
- The diagram displays a triangular prism with base ABC.
- The height of point D from the base plane (triangle ABC) extends vertically.
- EF is parallel to the base ABC.
- Points H, G, and I are marked as midpoints on respective segments: H on [BC], G on [AB], and I on [EF].
**Task:**
a. Connect point A and H. Find the area of the plane DAHI.
**Options:**
- ☐ 120.4
- ☐ 142.8
- ☐ 110.2
- ☐ 133.5
The task requires identifying segment lengths and calculating the area of the new plane created by connecting A and H in the given triangular prism.
### Explanation of Diagram Features
- **Height of Prism (18 cm):** This is the vertical distance from the plane ABC to the top plane DEF.
- **Isosceles Triangle ABC:** With sides AC = 8 cm and AB = 8 cm, and a base BC = 6 cm.
- **Midpoints:** These are crucial for drawing lines and segments that divide the prism into smaller areas or sections.
For further geometric analysis, calculate any necessary segment lengths and use appropriate area formulas to determine the area of plane DAHI.
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