Question

homework 1: classifying triangles directions: classify each triangle by its angles and sides. this is a 2 - page document! 1. triangle with angles 73°, 73°, 34° and two equal - marked sides 2. right triangle with legs 6m, 14.4m and hypotenuse 15.6m 3. triangle with sides 7in, 10in, 15in and angle 123° 4. triangle with all sides 3mm 5. right triangle with legs 34m, 34m and hypotenuse 48m 6. triangle with sides 20ft, 17ft, 22ft and angles 48°, 72°, 60° 7. triangle with all angles 60° and all sides equal - marked 8. triangle with two sides 15in, one side 24in and angle 106° also, there is some text: bop and n is the midpoint of pr classify each triangle by its angles and sides.

Explanation:

Step1: Classify Triangle 1 (angles/sides)

Two equal angles ($73^\circ$), one pair equal sides.
Angles: All acute ($<90^\circ$) → acute. Sides: Two equal → isosceles.

Step2: Classify Triangle 2 (angles/sides)

One right angle ($90^\circ$), all sides unequal.
Angles: Right angle → right. Sides: No equal sides → scalene.

Step3: Classify Triangle 3 (angles/sides)

One obtuse angle ($123^\circ$), all sides unequal.
Angles: Obtuse angle → obtuse. Sides: No equal sides → scalene.

Step4: Classify Triangle 4 (angles/sides)

All sides equal (3 mm), all angles equal.
Angles: All acute → acute. Sides: All equal → equilateral.

Step5: Classify Triangle 5 (angles/sides)

One right angle ($90^\circ$), two equal sides (34 m).
Angles: Right angle → right. Sides: Two equal → isosceles.

Step6: Classify Triangle 6 (angles/sides)

All angles acute ($<90^\circ$), all sides unequal.
Angles: All acute → acute. Sides: No equal sides → scalene.

Step7: Classify Triangle 7 (angles/sides)

All angles equal ($60^\circ$), all sides equal.
Angles: All acute → acute. Sides: All equal → equilateral.

Step8: Classify Triangle 8 (angles/sides)

One obtuse angle ($106^\circ$), two equal sides (15 in).
Angles: Obtuse angle → obtuse. Sides: Two equal → isosceles.

Answer:

1. Acute Isosceles Triangle
2. Right Scalene Triangle
3. Obtuse Scalene Triangle
4. Acute Equilateral Triangle
5. Right Isosceles Triangle
6. Acute Scalene Triangle
7. Acute Equilateral Triangle
8. Obtuse Isosceles Triangle