The triangles are similar. Find the missing side, angle or value of the variable. b CH a = 56° b = 6 cm O 6 cm O 90° O 34° O 56°
The triangles are similar. Find the missing side, angle or value of the variable. b CH a = 56° b = 6 cm O 6 cm O 90° O 34° O 56°
Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE:
1. Give the measures of the complement and the supplement of an angle measuring 35°.
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Concept explainers
Ratios
A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.
Trigonometric Ratios
Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.
Question
Transcribed Image Text:### Educational Content Transcription
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**Question 3**
**Problem Statement:**
The triangles are similar. Find the missing side, angle, or value of the variable.
**Given:**
- Two triangles: Triangle XYZ and Triangle QPR
- Angle X = a = 56°
- Side QR = b = 6 cm
**Diagram Explanation:**
- Triangle XYZ is on the left, oriented with angle X known to be 56°.
- YQ is visually indicated to be parallel to PR, making the triangles similar by angle similarity.
- Triangle QPR is on the right with side QR labeled as 6 cm, and angle QPR similar to angle XYZ.
**Multiple Choice Options:**
- O 6 cm
- O 90°
- O 34°
- O 56°
---
**Diagram Details:**
- The diagram includes two similar triangles, labeled XYZ and QPR.
- XYZ has angles with the following measurements:
- X = 56°
- Y and Z are not specified but are marked to imply similarity to QPR.
- QPR includes:
- Angle at Q measuring the same as angle X from triangle XYZ which is 56°
- Side QR measures 6 cm.
---
- This content is designed for educational purposes to assist in understanding the relationships in similar triangles and the properties of angles and sides.
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