17. Given: ABC and ACD are triangles with: m(ZACB) = 60° , AC =6, BC=8, CD=4 Find the area of the triangle ABD. A D А. 18 В. 21/3 C. 18/3 D. 6/3

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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**Problem 17:**

Given: Triangles \( ABC \) and \( ACD \) with:

- \( m(\angle ACB) = 60^\circ \)
- \( AC = 6 \)
- \( BC = 8 \)
- \( CD = 4 \)

Find the area of triangle \( ABD \).

**Diagram Description:**

The diagram shows two connected triangles sharing side \( AC \). Triangle \( ABC \) includes point \( B \) and \( C \) on its base, with angle \( ACB \) measuring \( 60^\circ \). Triangle \( ACD \) extends \( CD \) from point \( C \).

**Answer Choices:**

- A. \( 18 \)
- B. \( 21\sqrt{3} \)
- C. \( 18\sqrt{3} \)
- D. \( 6\sqrt{3} \)
- E. \( 21 \)
Transcribed Image Text:**Problem 17:** Given: Triangles \( ABC \) and \( ACD \) with: - \( m(\angle ACB) = 60^\circ \) - \( AC = 6 \) - \( BC = 8 \) - \( CD = 4 \) Find the area of triangle \( ABD \). **Diagram Description:** The diagram shows two connected triangles sharing side \( AC \). Triangle \( ABC \) includes point \( B \) and \( C \) on its base, with angle \( ACB \) measuring \( 60^\circ \). Triangle \( ACD \) extends \( CD \) from point \( C \). **Answer Choices:** - A. \( 18 \) - B. \( 21\sqrt{3} \) - C. \( 18\sqrt{3} \) - D. \( 6\sqrt{3} \) - E. \( 21 \)
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