Further MathematicsSimilar Triangles K McMullen 2012
Similar TrianglesFor two triangles to be similar one of thefollowing conditions apply: Corresponding angles in the triangle are equal Corresponding sides are in the same ratio K McMullen 2012
Similar TrianglesCondition 1: Corresponding angles in the triangleare equalRemember that all internal angles within atriangle add to 180 degreesTriangles may need to be rotated so that you canvisualise the corresponding angles easily K McMullen 2012
Similar Triangles Condition 2: Corresponding sides are in the same ratioAB’/AB=BC’/BC=AC’/AC=kk is the scale factor K McMullen 2012
Similar TrianglesTo test whether two triangles are similar: Separate the diagram so you have two separate triangles Label your triangles (ABC for angles and abc for corresponding sides) Calculate the internal angles of both triangles Or Calculate the ratio of two corresponding sides If the angles are the same or the corresponding sides are the in the same ratio then the triangles are similar K McMullen 2012
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