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Published byJane Ray Modified over 9 years ago
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Special Right Triangles
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45-45-90 Right Isosceles Triangle Leg Hypotenuse Legs are congruent Hypotenuse = Legs =
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45-45-90 Right Isosceles Triangle s s Leg Leg Hyp 11 33 2 12
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Leg 1-If the perimeter of the square is 28, what is the length of the diagonal? 2- If the diagonal has a length of 12, what is the perimeter of the square? Area? The diagonal of a square is the Hypotenuse of two isosceles right triangles. 1- Perimeter = 28 4x = 28 x = 7 Leg = 7 Hyp = 7 2 2- Diagonal = 12 Leg = 12÷ 2 = 6 2 P = 4(6 2) =24 2 A = 6 2·6 2 = 72
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30-60-90 Long Leg Short Leg Hypotenuse Know the Short Leg (SL): Hypotenuse = 2 · SL Long Leg = Know Hypotenuse: Short leg = ½ Hypotenuse Know Long Leg (LL): Short leg = 30° 60°
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30-60-90 x 2x Short Leg Long Leg Hyp1 2 3 6 42 12 6 12 24 12
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30-60-90 When you draw the altitude of an equilateral triangle, you create two 30-60-90 triangles. The triangle side length is the hypotenuse of the 30-60-90. Half of the side length is the short leg of the 30-60-90. The altitude, then, is half the triangle side times the square root of 3. 60° 30° x 2x 30°
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