What are the solutions to these triangles using Inverse Trigonometric Ratios? The image displays a right triangle labeled as \( \triangle ABC \).- **Angle C** is the right angle, denoted by a small square.- **Side AC** measures 6 units.- **Side BC** measures 9 units.- **Angle A** is labeled as \( \theta \).- **Vertex A** is at the left, and vertex B is at the right on the base of the triangle.- **The hypotenuse is AB**, though not directly measured in this image based on the given sides. The image depicts two labeled right triangles, each with given side lengths and angle notations.---**Triangle 2:**- **Vertices:** A, B, C- **Sides:** - AC = 13 (hypotenuse) - BC = 4 - AB is the side adjacent to angle θ and opposite the right angle.- **Angle:** θ is at vertex A.This triangle is a right triangle with the right angle marked at vertex C.---**Triangle 4:**- **Vertices:** A, B, C- **Sides:** - BC = 11.9 - AC = 10 - AB is the hypotenuse.- **Angle:** θ is at vertex A.This triangle is also a right triangle with the right angle marked at vertex C.---Both diagrams focus on the relationship between sides and angles in right triangles, illustrating applications of trigonometric functions such as sine, cosine, and tangent.

Answered: Image /qna-images/answer/1854a6a7-5ed0-4a50-a8f6-a9819e74358a.jpg

Answered: 3) A 6 Ө 9 B

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

See similar textbooks

Related questions

Question

What are the solutions to these triangles using Inverse Trigonometric Ratios?

The image displays a right triangle labeled as \( \triangle ABC \).

- **Angle C** is the right angle, denoted by a small square.
- **Side AC** measures 6 units.
- **Side BC** measures 9 units.
- **Angle A** is labeled as \( \theta \).
- **Vertex A** is at the left, and vertex B is at the right on the base of the triangle.
- **The hypotenuse is AB**, though not directly measured in this image based on the given sides.

The image depicts two labeled right triangles, each with given side lengths and angle notations.

---

**Triangle 2:**
- **Vertices:** A, B, C
- **Sides:**
- AC = 13 (hypotenuse)
- BC = 4
- AB is the side adjacent to angle θ and opposite the right angle.
- **Angle:** θ is at vertex A.

This triangle is a right triangle with the right angle marked at vertex C.

---

**Triangle 4:**
- **Vertices:** A, B, C
- **Sides:**
- BC = 11.9
- AC = 10
- AB is the hypotenuse.
- **Angle:** θ is at vertex A.

This triangle is also a right triangle with the right angle marked at vertex C.

---

Both diagrams focus on the relationship between sides and angles in right triangles, illustrating applications of trigonometric functions such as sine, cosine, and tangent.

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°).

Expert Solution