in the diagram, BCD is a straight line and BC : CD = 5 : 3. Calculate the area of triangle ABC as a percentage of the area of the triangle ABD. In this diagram, we have a triangle with vertices labeled as points A, B, and D. There is also a point C on side BD of the triangle. The following distances are provided:- Distance BC = 5 units- Distance CD = 3 unitsHence, the total distance BD = BC + CD = 5 + 3 = 8 units.The figure illustrates how a line segment is divided into two parts, which can be useful in problems involving ratios, proportions, or similar triangles.### Key Points:- Point A is the apex of triangle ABD.- Segment BC is 5 units long.- Segment CD is 3 units long.- Together, BD is the sum of BC and CD, making it 8 units long.This type of diagram is typically used in geometry to explain the concepts of line segments, points, and various properties of triangles.

the given diagram is: we have been given that in the diagram, BCD is a straight line and BC : CD =…

Answered: in the diagram, BCD is a straight line…

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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in the diagram, BCD is a straight line and BC : CD = 5 : 3. Calculate the area of triangle ABC as a percentage of the area of the triangle ABD.

In this diagram, we have a triangle with vertices labeled as points A, B, and D. There is also a point C on side BD of the triangle. The following distances are provided:
- Distance BC = 5 units
- Distance CD = 3 units

Hence, the total distance BD = BC + CD = 5 + 3 = 8 units.

The figure illustrates how a line segment is divided into two parts, which can be useful in problems involving ratios, proportions, or similar triangles.

### Key Points:
- Point A is the apex of triangle ABD.
- Segment BC is 5 units long.
- Segment CD is 3 units long.
- Together, BD is the sum of BC and CD, making it 8 units long.

This type of diagram is typically used in geometry to explain the concepts of line segments, points, and various properties of triangles.

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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