9.2 Special Right Triangles 45-45-90 EQ: What are the relationships between the sides on a 45 -45-90 triangle? Moody Mathematics.

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Presentation transcript:

9.2 Special Right Triangles 45-45-90 EQ: What are the relationships between the sides on a 45 -45-90 triangle? Moody Mathematics

Take a square… Moody Mathematics

Find its diagonal Here it is Moody Mathematics

Find its length d x x Moody Mathematics

d x x Moody Mathematics

Summarize the pattern: Moody Mathematics

45o-45o-90o leg leg leg Moody Mathematics

45o-45o-90o 6 6 6 Moody Mathematics

45o-45o-90o 8 8 8 Moody Mathematics

45o-45o-90o 5 5 5 Moody Mathematics

45o-45o-90o 10 10 10 Moody Mathematics

45o-45o-90o 2 Moody Mathematics

45o-45o-90o Moody Mathematics

45o- 45o-90o Moody Mathematics

45o-45o-90o Moody Mathematics

9.2 Special Right Triangles 30-60-90 Triangles EQ: How do I find the lengths of sides of a 30-60-90 triangle

Now Let’s take an Equilateral Triangle… Moody Mathematics

… Find its Altitude Moody Mathematics

x x a x Moody Mathematics

x x a Moody Mathematics

Summarize the pattern: Moody Mathematics

30o-60o-90o Shorter Leg Hypotenuse Longer leg Moody Mathematics

30o-60o-90o ½ Hyp. Hyp. ½ Hyp. Moody Mathematics

30o-60o-90o Moody Mathematics

Practice: Moody Mathematics

30o-60o-90o Moody Mathematics

30o-60o-90o Moody Mathematics

30o-60o-90o Moody Mathematics

30o-60o-90o Moody Mathematics

30o-60o-90o Moody Mathematics

30o-60o-90o Moody Mathematics

30o-60o-90o Moody Mathematics

30o-60o-90o Moody Mathematics

30o-60o-90o Moody Mathematics

30o-60o-90o Moody Mathematics

Review Both Patterns: Moody Mathematics

45o-45o-90o leg leg leg Moody Mathematics

30o-60o-90o ½ Hyp. Hyp. ½ Hyp. Moody Mathematics

Mixed Practice: Moody Mathematics

Moody Mathematics

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8 8 8 Moody Mathematics

10 10 10 Moody Mathematics

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4 4 Moody Mathematics

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