Math Problem Statement

Konstruiere auf der Geraden (Hypotenuse AB = 8cm) ein rechtwinkliges Dreieck mit Punkt C1. Konstruiere auf der gleichen Geraden ein gleichschenkliges rechtwinkliges Dreieck mit der Hypotenuse 12cm und einem Punkt C2.

Solution

The image you shared appears to be a geometry problem in German, with the task of constructing certain elements related to a right triangle.

Here’s what the question says:

  • Part a): Construct a right-angled triangle with a given hypotenuse of 8 cm.
  • Part b): Construct an isosceles right triangle with a hypotenuse of 12 cm.

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Math Problem Analysis

Mathematical Concepts

Right-angled triangles
Isosceles right triangles
Geometrical construction

Formulas

Pythagorean theorem (a^2 + b^2 = c^2)
Properties of isosceles right triangles

Theorems

Pythagorean theorem

Suitable Grade Level

Grades 8-10