Geometry · Foundation · 11 min
Similar triangles
Scaling changes every length by the same factor, but area changes by the factor squared.
WHAT HAPPENS IF…Find the scale factor that quadruples the area.
Preparing your experiment…
Connect the picture to the ideaa1a2=k,A1A2=k2Both the base and perpendicular height are multiplied by k. Substituting into A = bh/2 gives a factor of k². Corresponding angles stay unchanged.
A detail that mattersEqual angles imply similarity, not necessarily equal size.