The area of triangle ABC is 50 square units. What is the length of CD? ### Problem Statement:The area of triangle ABC is 50 square units. What is the length of CD?### Diagram Explanation:- The triangle ABC is shown as a shaded triangle with vertices labeled A, B, and C.- The triangle is divided into two right-angled triangles by the line segment CD, which is perpendicular to AB at point D.- Angle A and Angle B are both marked as 45 degrees, indicating that triangle ABC is an isosceles right triangle.- The length of side AB is given as 10 units.### Multiple Choice Answers:- ⭕ 9 units- ⭕ 5√2 units - ⭕ 10√2 units - ⭕ 5 units

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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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The area of triangle ABC is 50 square units. What is the length of CD?

Polygon with three sides, three angles, and three vertices. Based on the properties of each side, the types of triangles are scalene (triangle with three three different lengths and three different angles), isosceles (angle with two equal sides and two equal angles), and equilateral (three equal sides and three angles of 60°). The types of angles are acute (less than 90°); obtuse (greater than 90°); and right (90°).

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