Math Problem Statement

Name the smallest angle in triangles and compare side lengths based on the provided triangle details.

Solution

Let’s go through the math problems step by step based on the image you uploaded. Here are solutions for each question:

1. Name the smallest angle in △ABC, where AB = 6.2 cm, BC = 5.6 cm, and AC = 4.2 cm.

  • Approach: The smallest angle is opposite the shortest side. Since AC is the shortest side (4.2 cm), the angle opposite AC is ∠B.
  • Answer: ∠B

2. Name the smallest angle in △PQR, where PQ = 8.3 cm, QR = 5.4 cm, and PR = 7.2 cm.

  • Approach: The smallest angle is opposite

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Math Problem Analysis

Mathematical Concepts

Geometry
Triangle properties
Angle-Side Relationships

Formulas

Triangle inequality
Basic properties of angles and sides

Theorems

The smallest angle in a triangle is opposite the shortest side

Suitable Grade Level

Grade 9

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