Given: Right △ABC with m∠C=90∘ and m∠A=60∘; AB=28Find: BC The image depicts a right triangle labeled as triangle ABC. - **Vertices:** - Point A is at the top of the triangle. - Point C is the vertex of the right angle. - Point B is at the bottom right.- **Angle Measurement:** - ∠ACB is the right angle (90°). - ∠CAB is marked as 60°.- **Sides:** - Side AC is vertical. - Side BC is horizontal, forming the base of the triangle. - Side AB is the hypotenuse, opposite the right angle.The triangle demonstrates the properties of a 30-60-90 right triangle, which is a special type of right triangle with interior angles of 30°, 60°, and 90°. These triangles have specific side ratios: the side opposite the 30° angle is half the hypotenuse, and the side opposite the 60° angle is √3/2 times the hypotenuse.

The given right triangle has measures .The aim is to find the length .

Answered: Given: Right △ABC with m∠C=90∘ and…

Math

Geometry

Given: Right △ABC with m∠C=90∘ and m∠A=60∘; AB=28 Find: BC

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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Q: Given: Right △ABC with m∠C=90∘ and m∠A=45∘; AB=34 Find: AC 34√3 34√2 68 17…

Question

Given: Right △ABC with m∠C=90∘ and m∠A=60∘; AB=28
Find: BC

The image depicts a right triangle labeled as triangle ABC.

- **Vertices:**
- Point A is at the top of the triangle.
- Point C is the vertex of the right angle.
- Point B is at the bottom right.

- **Angle Measurement:**
- ∠ACB is the right angle (90°).
- ∠CAB is marked as 60°.

- **Sides:**
- Side AC is vertical.
- Side BC is horizontal, forming the base of the triangle.
- Side AB is the hypotenuse, opposite the right angle.

The triangle demonstrates the properties of a 30-60-90 right triangle, which is a special type of right triangle with interior angles of 30°, 60°, and 90°. These triangles have specific side ratios: the side opposite the 30° angle is half the hypotenuse, and the side opposite the 60° angle is √3/2 times the hypotenuse.

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