Match the following :
`{:(,"Measures of Triangle",,"Type of Triangle"),((i),"3 sides of equal length",(a),"Scalene"),((ii),"2 sides of equal length",(b),"Isosceles right angled"),((iii),"All sides are of different length",(c),"Obtuse angled"),((iv),"3 acute angles",(d),"Right angled"),((v),"1 right angle",(e),"Equilateral"),((vi),"1 obtuse angle",(f),"Acute angled"),((vii),"1 right angle with two sides of equal length",(g),"Isosceles"):}`

Answer

To solve the matching question, we will analyze each measure of a triangle and identify the corresponding type of triangle.

### Step-by-Step Solution:

1. **Three sides of equal length**:
- A triangle where all three sides are equal is called an **Equilateral Triangle**.
- **Match**: (i) → (e)

2. **Two sides of equal length**:
- A triangle with two sides of equal length is known as an **Isosceles Triangle**.
- **Match**: (ii) → (g)

3. **All sides are of different lengths**:
- A triangle in which all three sides have different lengths is called a **Scalene Triangle**.
- **Match**: (iii) → (a)

4. **Three acute angles**:
- A triangle where all angles are less than 90 degrees is called an **Acute Triangle**.
- **Match**: (iv) → (f)

5. **One right angle**:
- A triangle with one angle equal to 90 degrees is known as a **Right-Angled Triangle**.
- **Match**: (v) → (d)

6. **One obtuse angle**:
- A triangle that has one angle greater than 90 degrees is called an **Obtuse Triangle**.
- **Match**: (vi) → (c)

7. **One right angle with two sides of equal length**:
- A triangle that has one right angle and two equal sides is known as an **Isosceles Right-Angled Triangle**.
- **Match**: (vii) → (b)

### Final Matches:
- (i) → (e) Equilateral
- (ii) → (g) Isosceles
- (iii) → (a) Scalene
- (iv) → (f) Acute
- (v) → (d) Right Angled
- (vi) → (c) Obtuse
- (vii) → (b) Isosceles Right Angled