Hence the limit behavior of the construction depends on the angle at the apex of the

similar triangles.

If the students ignore the given area of Triangle B and make use of

similar triangles, then the answer for the area of Rectangle C will be 45-4-22.

The estimated height of the tree can be calculated using knowledge of ratio and the special case of

similar triangles.

The geometric model was also important to relate this problem with contents that include triangle inequality, Cartesian system, equation of a line, and

similar triangles.

Basic concepts in traditional geometry include

similar triangles and the Pythagorean theorem.

By now a solution idea was bubbling in my brain, based on a memory of working out heights of tall things from shadows and known smaller things, using the idea of

similar triangles.

The authors have organized the main body of their text in eleven chapters devoted to line and angle relationships, parallel lines, triangles, quadrilaterals,

similar triangles, circles, locus and concurrence, areas of polygons and circles, surfaces and solids, analytic geometry, and the basics of trigonometry.

It is equivalent to the theorem about ratios in

similar triangles.

So they learned that trying to find some numerical relationships through using

similar triangles was not feasible.

The midpoint theorems involve parallel lines and

similar triangles.