Math Problem Statement

Find X

Find X in the given triangle with side lengths and angles provided.

Solution

This is a right triangle problem where one side and one angle (other than the right angle) are given, and you need to find the hypotenuse xx.

Given:

  • One leg = 65
  • The hypotenuse = xx
  • Opposite side = 25

Using the Pythagorean theorem:

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Math Problem Analysis

Mathematical Concepts

Trigonometry
Right Triangle Geometry

Formulas

Sine rule: sin(angle) = opposite/hypotenuse
Cosine rule: cos(angle) = adjacent/hypotenuse

Theorems

Pythagorean Theorem

Suitable Grade Level

Grades 9-11

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