Discover Triangle Side Lengths and Inequalities
- Thomas Gebbie
Construct a triangle with the given side lengths, if possible. a. 2 cm, 2 cm, 5 cm b. 3 cm, 2 cm, 5 cm 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. 2. Acute Triangle: 3. Obtuse Triangle: Side Lengths: a =_____ b=______ c=______ Side Lengths: a =_____ b=______ c=______ a^2 + b^2=_________ c^2=_________ a^2 + b^2=_________ c^2=_________ Compare your results with your group. 3. Write an inequality that compares a^2 + b^2 and c^2 for acute triangles. 4. Write an inequality that compares a^2 + b^2 and c^2 for obtuse triangles.