10) Find the missing values in the figure below. sin S A. AD 1.5 cm, DC = 1.5 cm B. AD= 3 cm, DC = 1.5 cm 4 cm $*-3 C. AD 18 cm, DC = 9 cm DAD=9 cm, DC = 18cm

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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**Title: Solving for Missing Values in Geometrical Figures**

**Objective:**
To find the missing values in the given geometrical figure based on the provided measurements.

**Problem Description:**

**Given Figure Explanation:**
The figure provided is a right-angled triangle with the following dimensions:
- Side \(AD\)
- Side \(DC\)

**Task:**
Identify the missing measurements for the triangle as indicated in the given options.

**Options:**

**A)** 
\(AD = 1.5 \, \text{cm}\), 
\(DC = 1.5 \, \text{cm}\)

**B)** 
\(AD = 3 \, \text{cm}\), 
\(DC = 1.5 \, \text{cm}\)

**C)** 
\(AD = 1.8 \, \text{cm}\), 
\(DC = 9 \, \text{cm}\)

**D)** 
\(AD = 9 \, \text{cm}\), 
\(DC = 1.8 \, \text{cm}\)

**Correct Answer Indication:**
The figure clearly marks the correct value with an 'X' mark, indicating that the values in option **D** are incorrect.

**Instruction:**
Carefully analyze each pair of dimensions and their relation in the given figure to determine the correct measurements. Discuss the potential mathematical approach to find the missing values, such as the Pythagorean theorem or properties of triangles.

**Note:**
Visual aids may help understand the problem better and accurately derive the solution.
Transcribed Image Text:**Title: Solving for Missing Values in Geometrical Figures** **Objective:** To find the missing values in the given geometrical figure based on the provided measurements. **Problem Description:** **Given Figure Explanation:** The figure provided is a right-angled triangle with the following dimensions: - Side \(AD\) - Side \(DC\) **Task:** Identify the missing measurements for the triangle as indicated in the given options. **Options:** **A)** \(AD = 1.5 \, \text{cm}\), \(DC = 1.5 \, \text{cm}\) **B)** \(AD = 3 \, \text{cm}\), \(DC = 1.5 \, \text{cm}\) **C)** \(AD = 1.8 \, \text{cm}\), \(DC = 9 \, \text{cm}\) **D)** \(AD = 9 \, \text{cm}\), \(DC = 1.8 \, \text{cm}\) **Correct Answer Indication:** The figure clearly marks the correct value with an 'X' mark, indicating that the values in option **D** are incorrect. **Instruction:** Carefully analyze each pair of dimensions and their relation in the given figure to determine the correct measurements. Discuss the potential mathematical approach to find the missing values, such as the Pythagorean theorem or properties of triangles. **Note:** Visual aids may help understand the problem better and accurately derive the solution.
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