Question

a triangle has sides with the lengths and angle measures given. classify each triangle. write scalene, isosceles, or equilateral. then write acute, obtuse, or right

1. sides: 44 mm, 20 mm, 34 mm

angles: 110°, 40°, 30°

1. sides: 10 mm, 10 mm, 13 mm

angles: 65°, 75°, 40°

Explanation:

Problem 5:

Step 1: Classify by sides

Check if any sides are equal. The sides are 44 mm, 20 mm, 34 mm. All sides are different, so it's scalene.

Step 2: Classify by angles

Check the largest angle. The angles are \(110^\circ\), \(40^\circ\), \(30^\circ\). The largest angle \(110^\circ\) is obtuse (greater than \(90^\circ\) and less than \(180^\circ\)). So the triangle is obtuse.

Step 1: Classify by sides

Check if any sides are equal. The sides are 10 mm, 10 mm, 13 mm. Two sides (10 mm, 10 mm) are equal, so it's isosceles.

Step 2: Classify by angles

Check the largest angle. The angles are \(65^\circ\), \(75^\circ\), \(40^\circ\). The largest angle \(75^\circ\) is acute (less than \(90^\circ\)). So the triangle is acute.

Answer:

Scalene, Obtuse

Problem 6: