"Thales' Theorem states that if two triangles have equal corresponding angles, then their corresponding sides

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# Thales' Theorem
Thales' Theorem is a mathematical concept used to determine unknown distances or heights. It relies on similar triangles. Discovered by ancient Greek philosopher and mathematician Thales (624-546 BCE), the theorem states:

# Conditions
1. Two triangles: one large, one small.
2. Similar triangles (equal corresponding angles).
3. The smaller triangle forms from an altitude or line through a point on one side of the larger triangle.

# Principle
1. Equal corresponding angles imply proportional sides.
2. Unknown distances/heights are determined using corresponding side ratios.

# Applications
1. Calculating building or mountain heights.
2. Determining ship distances from shore.
3. Measuring tree heights.
4. Calculating civil engineering distances.

# Implementation Steps
1. Draw similar triangles.
2. Identify corresponding angles.
3. Calculate corresponding side ratios.
4. Apply ratios to determine unknown distances.

# Examples
1. Small triangle height: 3m, large triangle corresponding length: 9m; ratio 1:3.
2. Large triangle side: 15m; small triangle corresponding side: 5m.

Location

Online from Algeria

Age

Children (7-12 years old)

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Duration

60 minutes

The class is taught in

Arabic

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Math

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New York

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