Discover Triangle Side Lengths and Inequalities
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.