Use a Pythagorean triple to find the unknown side length of the right triangle. Ex 4: Methods For Classifying a Triangle By Angles Using Its Side Lengths: (Given: If is the longest side in each triangle, then……) “c” Converse of Pythagorean Theorem If = + then = 90° and If < + then < 90° and If > + then > 90° and c2 a2 b2, mC c2 a2 b2, mC c2 a2 b2, mC is a ____________ triangle. is an ___________ triangle. is an ____________ triangle. ABC ABC ABC Ex 5: Tell whether the given triangle is a right, acute or obtuse triangle. a.) b.) No calculator! Can segments with the given lengths of feet form a triangle? If so, would the triangle be or Ex 6: acute, right, No calculator! obtuse? 5, , 4 The sides and classification of a triangle are given below. The length of the longest side is the integer Ex 7: given. What value(s) of make the triangle? Express answers as simplified radicals if applicable. NO x calculator!!! a) x, x, 6; Obtuse b) x + 1, x + 4, 15; Right
Ex 4: Use a Pythagorean triple to find the unknown side length of the right triangle. Methods For Classifying a Triangle By Angles Using Its Side Lengths: (Given: If “c” is the longest side in each triangle, then……) Converse of Pythagorean Theorem If c2 = a2 + b2, then mC = 90° and ABC is a ____________ triangle. If c2 < a2 + b2, then mC < 90° and ABC is an ___________ triangle. If c2 > a2 + b2, then mC > 90° and ABC is an ____________ triangle. Ex 5: Tell whether the given triangle is a right, acute or obtuse triangle. a.) b.) No calculator! Ex 6: Can segments with the given lengths of feet form a triangle? If so, would the triangle be acute, right, or obtuse? No calculator! 5, , 4 Ex 7: The sides and classification of a triangle are given below. The length of the longest side is the integer given. What value(s) of x make the triangle? Express answers as simplified radicals if applicable. NO calculator!!! a) x, x, 6; Obtuse b) x + 1, x + 4, 15; Right