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INDIRECT PROOF

Given: ABC is a right triangle Prove: ABC has no obtuse angles Assume ABC ahs an obtuse triangle and that angle B is obtuse < A + <C = 90 <A = 90 - <C <A > 90 90- <C >90 <C < 0 3. However we cant have 0 degrees. INDIRECT PROOF. A. C. B.

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INDIRECT PROOF

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  1. Given: ABC is a right triangle Prove: ABC has no obtuse angles Assume ABC ahs an obtuse triangle and thatangle B isobtuse < A + <C = 90 <A = 90 - <C <A > 90 90- <C >90 <C < 0 3. However we cant have 0 degrees INDIRECT PROOF A C B

  2. Given: DEF is an obtuse triangle Prove: a triangle cannot have two obtuse angles • <D >90 <E > 90 <D+ <E + <F = 180 90+90+<F = 180 <F= 0 2. No angles can be 0 D F E

  3. Given: supplementary angles Prove: they cant have both obtuse angles 1. Assume that the two supplementary angles are obtuse angles 2. A>90 B>90 <A + <B > 180 3. They are not supplementary angles, therefore they cant be obtuse angles

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