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What is the measure of Angle A? (Round to the nearest tenth)

What is the measure of Angle A? (Round to the nearest tenth)

Elementary Geometry For College Students, 7e
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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### Right Triangle ABC In this diagram, we have a right triangle labeled as ABC. Here are the key features and measurements of the triangle: - **Vertices**: The triangle has three vertices labeled A, B, and C. The right angle is at vertex B. - **Sides**: - **AB**: This is one of the legs of the triangle and is perpendicular to side BC. - **BC**: This is the other leg of the triangle and is horizontal. - **AC**: This is the hypotenuse of the triangle, opposite the right angle. ### Measurements: - **Side BC (Base)**: The length of side BC, which is the horizontal leg of the triangle, is given as 24 units. - **Side AC (Hypotenuse)**: The length of the hypotenuse AC is given as 25 units. ### Right Angle Identification: - The right angle is marked at vertex B, denoted by a small square symbol. This diagram is a classic depiction of a right triangle and can be used to study the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (AC) is equal to the sum of the squares of the lengths of the other two sides (AB and BC). For this triangle, the relation can be represented as: \[ AB^2 + BC^2 = AC^2 \] Given the lengths, you can verify this as: \[ AB^2 + 24^2 = 25^2 \] This is a fundamental concept in geometry and is widely applicable in various fields of study.
Transcribed Image Text:### Right Triangle ABC In this diagram, we have a right triangle labeled as ABC. Here are the key features and measurements of the triangle: - **Vertices**: The triangle has three vertices labeled A, B, and C. The right angle is at vertex B. - **Sides**: - **AB**: This is one of the legs of the triangle and is perpendicular to side BC. - **BC**: This is the other leg of the triangle and is horizontal. - **AC**: This is the hypotenuse of the triangle, opposite the right angle. ### Measurements: - **Side BC (Base)**: The length of side BC, which is the horizontal leg of the triangle, is given as 24 units. - **Side AC (Hypotenuse)**: The length of the hypotenuse AC is given as 25 units. ### Right Angle Identification: - The right angle is marked at vertex B, denoted by a small square symbol. This diagram is a classic depiction of a right triangle and can be used to study the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (AC) is equal to the sum of the squares of the lengths of the other two sides (AB and BC). For this triangle, the relation can be represented as: \[ AB^2 + BC^2 = AC^2 \] Given the lengths, you can verify this as: \[ AB^2 + 24^2 = 25^2 \] This is a fundamental concept in geometry and is widely applicable in various fields of study.
**Question:** What is the measure of Angle A? (Round to the nearest tenth)
Transcribed Image Text:**Question:** What is the measure of Angle A? (Round to the nearest tenth)
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