Question

classifying triangles
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name
classify each triangle by its angles and sides.
1)
2)
3)
4)
5)
6)
7)
8)
9)
10)

Explanation:

Step1: Classify triangle 1 by angles/sides

Has one $124^\circ$ (obtuse) angle, two equal sides ($2.6$).

Step2: Classify triangle 2 by angles/sides

All angles $<90^\circ$ (acute), two equal sides ($3.5$).

Step3: Classify triangle 3 by angles/sides

Has one $118^\circ$ (obtuse) angle, all sides unequal.

Step4: Classify triangle 4 by angles/sides

All angles $<90^\circ$ (acute), all sides unequal.

Step5: Classify triangle 5 by angles/sides

All angles $60^\circ$ (acute), all sides equal ($6.4$).

Step6: Classify triangle 6 by angles/sides

Has one $90^\circ$ (right) angle, all sides unequal.

Step7: Classify triangle 7 by angles/sides

All angles $<90^\circ$ (acute), two equal sides ($3.7$).

Step8: Classify triangle 8 by angles/sides

Has one $124^\circ$ (obtuse) angle, two equal sides ($2.2$).

Step9: Classify triangle 9 by angles/sides

Has one $90^\circ$ (right) angle, all sides unequal.

Step10: Classify triangle 10 by angles/sides

Has one $138^\circ$ (obtuse) angle, two equal sides ($2.3$).

Answer:

1. Obtuse Isosceles
2. Acute Isosceles
3. Obtuse Scalene
4. Acute Scalene
5. Acute Equilateral (or Equiangular Equilateral)
6. Right Scalene
7. Acute Isosceles
8. Obtuse Isosceles
9. Right Scalene
10. Obtuse Isosceles