Math Problem Statement

Solve those 4

Solve those 4

Solution

Let's solve each problem step by step.

Problem 12:

We have a right triangle where:

  • One leg is 2.72.7,
  • The other leg is 6.56.5,
  • We need to find the hypotenuse (xx).

Using the Pythagorean theorem:
x2=2.72+6.52x^2 = 2.7^2 + 6.5^2
x2=7.29+42.25=49.54x^2 = 7.29 + 42.25 = 49.54
[ x = \sqrt{

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Math Problem Analysis

Mathematical Concepts

Geometry
Trigonometry
Pythagorean Theorem
Right Triangle Ratios

Formulas

Pythagorean Theorem: a^2 + b^2 = c^2
Trigonometric Ratios: sin(θ) = opposite/hypotenuse, cos(θ) = adjacent/hypotenuse, tan(θ) = opposite/adjacent

Theorems

Pythagorean Theorem
Basic Trigonometric Relationships

Suitable Grade Level

Grades 9-10

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