To classify each triangle based on its angles as
acute,
obtuse, or
right, we need to analyze the given angles for each triangle. Here's the step-by-step solution:
Definitions:
1.
Acute Triangle: All three angles are less than 90°.
2.
Right Triangle: One angle is exactly 90°.
3.
Obtuse Triangle: One angle is greater than 90°.
Analysis of Each Triangle:
####
Triangle 1:
- Angles: 35°, 55°, and 90° (implied by the right angle symbol).
- Classification:
Right Triangle (one angle is 90°).
####
Triangle 2:
- Angles: 103°, 54°, and 23°.
- Classification:
Obtuse Triangle (one angle is 103°, which is greater than 90°).
####
Triangle 3:
- Angles: 75°, 62°, and 53°.
- Classification:
Acute Triangle (all angles are less than 90°).
####
Triangle 4:
- Angles: 34°, 59°, and 87°.
- Classification:
Acute Triangle (all angles are less than 90°).
####
Triangle 5:
- Angles: 82°, 62°, and 36°.
- Classification:
Acute Triangle (all angles are less than 90°).
####
Triangle 6:
- Angles: 26°, 64°, and 90° (implied by the right angle symbol).
- Classification:
Right Triangle (one angle is 90°).
####
Triangle 7:
- Angles: 40°, 50°, and 90° (implied by the right angle symbol).
- Classification:
Right Triangle (one angle is 90°).
####
Triangle 8:
- Angles: 36°, 55°, and 89°.
- Classification:
Acute Triangle (all angles are less than 90°).
####
Triangle 9:
- Angles: 15°, 30°, and 135°.
- Classification:
Obtuse Triangle (one angle is 135°, which is greater than 90°).
Final Answer:
\[
\boxed{
\begin{array}{ccc}
1) & \text{Right} & \\
2) & \text{Obtuse} & \\
3) & \text{Acute} & \\
4) & \text{Acute} & \\
5) & \text{Acute} & \\
6) & \text{Right} & \\
7) & \text{Right} & \\
8) & \text{Acute} & \\
9) & \text{Obtuse} & \\
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of classifying triangles by angles worksheet.
