Part 4/6:
- This results in reduced measurements of 4 and 3 for the smaller triangle, preserving the aspect of similarity.
Once reduced, one can then square the new sides:
(H/5)² = 4² + 3²
(H/5)² = 16 + 9 = 25.
Taking the square root gives:
H/5 = 5.
Multiplying both sides by 5 indicates that the height H equals 25. This method not only simplifies calculations but also reaffirms the concept of similar triangles where angles and ratios remain consistent.