SWBAT: - Review for the final exam

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Presentation transcript:

SWBAT: - Review for the final exam Final Exam Review SWBAT: - Review for the final exam

Triangle Inequality Theorem AB + AC > BC AB + BC > AC AC + BC > AB B C

Triangle Inequality Theorem Biggest Side Opposite Biggest Angle Medium Side Opposite Medium Angle Smallest Side Opposite Smallest Angle A 3 5 B C m<B is greater than m<C

Triangle Inequality Theorem Converse is true also Biggest Angle Opposite _____________ Medium Angle Opposite ______________ Smallest Angle Opposite _______________ B C A 65 30 Angle A > Angle B > Angle C So CB >AC > AB

Example: Determine if the following lengths are legs of triangles B) 9, 5, 5 We choose the smallest two of the three sides and add them together. Comparing the sum to the third side: 4 + 5 ? 9 9 > 9 5 + 5 ? 9 10 > 9 Since the sum is not greater than the third side, this is not a triangle Since the sum is greater than the third side, this is a triangle

Possible value for the 3rd side

Tests for Acute, Obtuse or Right Triangles: In triangle ABC, if c is the longest side of the triangle, then Relations of sides Type of Triangle c2 < a2+ b2 Acute c2 = a2+ b2 Right c2 > a2+ b2 Obtuse

45-45-90 Triangle

30-60-90 Triangle

SOH-CAH-TOA