Math Problem Statement

Find the length of the slanted line and calculate the length of the third side of the right triangle.

Solution

Let's start by analyzing and solving the problems from the image you've provided.

1. Find the length of the slanted line (Problem 1):

The figure on the top right appears to be a right triangle with both legs measuring 3 cm each. Using the Pythagorean theorem, we can find the slanted line (hypotenuse). The theorem states:

c=a2+b2c = \sqrt{a^2 + b^2}

Where:

  • a=3cma = 3 \, \text{cm}
  • b=3cmb = 3 \, \text{cm}

Substituting the values:

[ c = \sqrt{3^2 + 3^2} =

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Math Problem Analysis

Mathematical Concepts

Geometry
Right Triangles
Pythagorean Theorem

Formulas

Pythagorean Theorem: c = √(a^2 + b^2)

Theorems

Pythagorean Theorem

Suitable Grade Level

Grades 6-8