Construct a triangle with the given side lengths, if possible.[br]a. 2 cm, 2 cm, 5 cm [br]b. 3 cm, 2 cm, 5 cm [br]c. 4 cm, 2 cm, 5 cm

Draw an acute triangle and an obtuse triangle. Name the longest side c. Measure the three side lengths with a ruler then calculate a2 + b2 as well as c2. [br]2. Acute Triangle: [br] [br]3. Obtuse Triangle:[br][br]Side Lengths: a =_____ b=______ c=______ Side Lengths: a =_____ b=______ c=______ [br]a^2 + b^2=_________ c^2=_________ a^2 + b^2=_________ c^2=_________[br][br][br]Compare your results with your group. [br]3. Write an inequality that compares a^2 + b^2 and c^2 for acute triangles.[br][br]4. Write an inequality that compares a^2 + b^2 and c^2 for obtuse triangles.