If altitude CD is V3 centimeters, what is the number of square centimeters in the area of AABC? A 30 В

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
Question

If altitude CD is sqrt 3 centimeters, what is the number of square centimeters in the area of ABC.

If altitude \( CD \) is \(\sqrt{3}\) centimeters, what is the number of square centimeters in the area of \(\triangle ABC\)?

**Diagram Explanation:**

The diagram is a right triangle \(\triangle ABC\) with right angle at \(C\). A line segment \(CD\) is drawn from point \(C\) to point \(D\) on side \(AB\), forming another right angle at \(D\). 

Angle \(\angle BAC\) is marked as \(30^\circ\). The line segment \(CD\) represents the altitude from point \(C\) to line \(AB\) and is given as \(\sqrt{3}\) centimeters. Point \(B\) is the base of triangle \(\triangle ABC\).

The task is to find the area of \(\triangle ABC\).
Transcribed Image Text:If altitude \( CD \) is \(\sqrt{3}\) centimeters, what is the number of square centimeters in the area of \(\triangle ABC\)? **Diagram Explanation:** The diagram is a right triangle \(\triangle ABC\) with right angle at \(C\). A line segment \(CD\) is drawn from point \(C\) to point \(D\) on side \(AB\), forming another right angle at \(D\). Angle \(\angle BAC\) is marked as \(30^\circ\). The line segment \(CD\) represents the altitude from point \(C\) to line \(AB\) and is given as \(\sqrt{3}\) centimeters. Point \(B\) is the base of triangle \(\triangle ABC\). The task is to find the area of \(\triangle ABC\).
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