Class 7 Maths worksheet on triangle properties, including classification by sides and angles.

Let’s go step by step to solve each part of the worksheet.

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Part 1: State for each triangle whether it is Scalene, Isosceles or Equilateral

Remember:
- Scalene: All sides are different lengths.
- Isosceles: Exactly two sides are equal.
- Equilateral: All three sides are equal.

Now check each triangle:

1. Triangle ABC: Sides = 5 cm, 4.2 cm, 4 cm → all different → Scalene
2. Triangle PQR: Sides = 6 cm, 6 cm, 8 cm → two sides equal → Isosceles
3. Triangle XYZ: Sides = 8 cm, 8 cm, 8 cm → all equal → Equilateral
4. Triangle UVW: Sides = 7 cm, 8 cm, 4 cm → all different → Scalene
5. Triangle LMN: Sides = 3 cm, 6.2 cm, 6.2 cm → two sides equal → Isosceles

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Part 2: State each triangle whether it is acute, right or obtuse

Remember:
- Right triangle: Has one angle exactly 90°.
- Obtuse triangle: Has one angle greater than 90°.
- Acute triangle: All angles less than 90°.

Check each triangle:

1. First triangle (bottom left in top row): has a 90° mark → Right
2. Second triangle: has 120° → that’s > 90° → Obtuse
3. Third triangle: angles 70°, 60°, 50° → all < 90° → Acute
4. Fourth triangle (bottom row, first): has 90° mark → Right
5. Fifth triangle: angles 110°, 40°, 30° → 110° > 90° → Obtuse

Wait — let me double-check the last one:
Angles given: 110°, 40°, 30° → sum = 180° ✔️
Since 110° > 90° → definitely Obtuse

Also, note: The fourth triangle (second in bottom row) shows a 90° angle at the top vertex? Actually, looking again — no, wait: In the image description, the fourth triangle (first in bottom row) has a 90° angle marked with square symbol → so Right. The fifth triangle (second in bottom row) has angles labeled 110°, 40°, 30° → yes, 110° makes it Obtuse.

But hold on — there’s also a sixth triangle? Wait, let’s count:

In Part 2, there are 5 triangles shown:

Top row: 3 triangles
Bottom row: 2 triangles

Yes, total 5.

So:

Triangle 1 (top-left): 90° → Right
Triangle 2 (top-middle): 120° → Obtuse
Triangle 3 (top-right): 70°, 60°, 50° → Acute
Triangle 4 (bottom-left): 90° → Right
Triangle 5 (bottom-middle): 110°, 40°, 30° → Obtuse

All correct.

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Final Answer:

Part 1:
- Triangle ABC: Scalene
- Triangle PQR: Isosceles
- Triangle XYZ: Equilateral
- Triangle UVW: Scalene
- Triangle LMN: Isosceles

Part 2:
- First triangle: Right
- Second triangle: Obtuse
- Third triangle: Acute
- Fourth triangle: Right
- Fifth triangle: Obtuse