The Special TrianglesTwo triangles whose exact ratios are worth knowing without a…10th GradeThe 45-45-90 and 30-60-90 triangles have fixedside ratios, giving exact trig values forthose angles.45-45-90 → 1 : 1 : √2 · 30-60-90 → 1 : √3 : 245-45-901 : 1 : √2Half a square, cut along the diagonal.30-60-901 : √3 : 2Half an equilateral triangle.sin 30°1/2Opposite 1, hypotenuse 2.tan 45°1Opposite and adjacent are equal.The shortest side always faces the smallest angle. That checkcatches most ratio mix-ups.The Special Triangleswww.littleactivity.com

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Math · 10th Grade

The Special Triangles

Two triangles whose exact ratios are worth knowing without a calculator.

How to use it

Sketch both from scratch. Deriving them beats memorising them.

Free · print-ready PDF · US Letter and A4

Grade
10th Grade
Ages
15–16
Subject
Math
Pages
1

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