Let’s solve each part of the worksheet step by step.
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Part 1: Classify each triangle by the length of its sides
Rule:
-
Equilateral: All three sides equal (marked with same tick marks).
-
Isosceles: Two sides equal.
-
Scalene: No sides equal.
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1. Triangle with all angles 60° and all sides marked with single tick → Equilateral
✔ Answer: Equilateral
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2. Triangle with right angle symbol and two sides marked with double tick → Isosceles (and also right triangle, but we’re classifying by side lengths)
✔ Answer: Isosceles
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3. Triangle with angles 45°, 70°, 65° — all different — and all sides have different tick marks (single, double, triple) → Scalene
✔ Answer: Scalene
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Part 2: Classify each triangle by its angles
Rule:
-
Acute: All angles < 90°
-
Right: One angle = 90°
-
Obtuse: One angle > 90°
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4. Angles: 45°, 70°, 65° — all less than 90° → Acute
✔ Answer: Acute
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5. Angles: 60°, 60°, 60° — all less than 90° → Acute
✔ Answer: Acute
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6. Right angle symbol + two sides equal → Right triangle (by angles)
✔ Answer: Right
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Part 3: Find the value of ‘x’ in each of the following
Rule: Sum of interior angles in any triangle = 180°
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7. Triangle with angles: x°, 52°, 35°
So:
> x + 52 + 35 = 180
> x + 87 = 180
> x = 180 - 87
>
x = 93
✔ Answer: 93
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✔ Final Answers:
1.
Equilateral
2.
Isosceles
3.
Scalene
4.
Acute
5.
Acute
6.
Right
7.
93
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Let me know if you’d like a visual explanation or want to check your own answers!
Parent Tip: Review the logic above to help your child master the concept of triangle basics worksheet answers.