Math Problem Statement

Solve the triangle-related problems shown in the uploaded image, which involve calculating unknown sides and angles using provided values.

Solution

This image contains several triangle-related problems requiring calculations based on given sides and angles. Let’s solve one or more of these step-by-step for you. Could you specify which question you'd like to start with? For example:

  1. Question 26: Find the third angle and remaining sides of a triangle, given one side and two angles.
  2. Question 27: Solve for the remaining angles and side of a triangle, given two sides and the angle between them.
  3. Question 28: Find missing properties of triangles based on given values.
  4. Question 29: Determine the angles of a triangle given its three sides.

Let me know which one, or if you'd like all explained systematically!

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Math Problem Analysis

Mathematical Concepts

Trigonometry
Geometry
Triangle Properties

Formulas

Angle Sum Property of a Triangle: α + β + γ = 180°
Law of Sines: a/sin(α) = b/sin(β) = c/sin(γ)
Law of Cosines: c^2 = a^2 + b^2 - 2ab*cos(γ)

Theorems

Triangle Angle Sum Theorem
Law of Sines
Law of Cosines

Suitable Grade Level

Grades 9-12

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