Triangle classification worksheet for identifying equilateral, isosceles, and scalene triangles based on side lengths.

Let's solve the problem step by step based on the worksheet titled "Triangles". The goal is to:

1. Name each triangle by the lengths of its sides (Equilateral, Isosceles, or Scalene).
2. Name each triangle pictured (based on side lengths and shape).

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🔷 Part 1: Name Each Triangle by Side Lengths

We classify triangles by their side lengths as:

- Equilateral: All three sides are equal.
- Isosceles: Two sides are equal.
- Scalene: No sides are equal.

Let’s go through each one:

#### a. 3 in., 5 in., 3 in.
- Two sides are equal (3 in. and 3 in.)
- ✔ Isosceles

#### b. 14 cm, 9 cm, 8 cm
- All sides are different
- ✔ Scalene

#### c. 24 mm, 24 mm, 24 mm
- All sides are equal
- ✔ Equilateral

#### d. 12 ft, 12 ft, 15 ft
- Two sides are equal (12 ft and 12 ft)
- ✔ Isosceles

#### e. 7 mi, 6 mi, 5 mi
- All sides are different
- ✔ Scalene

#### f. 32 m, 48 m, 48 m
- Two sides are equal (48 m and 48 m)
- ✔ Isosceles

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🔷 Part 2: Name Each Triangle Pictured

Now, we look at the drawn triangles (g, h, i, j) and determine their type based on side lengths (implied by drawing):

> Since these are drawn, we assume visual clues (equal sides, symmetry) help us classify them.

Let’s analyze each:

#### g.
- Appears to have all sides equal — equilateral triangle
- ✔ Equilateral

#### h.
- Looks like two sides are equal, with a peak — likely isosceles
- ✔ Isosceles

#### i.
- Has no obvious equal sides, appears irregular
- ✔ Scalene

#### j.
- Looks like it has two equal sides, but tilted — still, two sides appear equal
- ✔ Isosceles

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✔ Final Answers:

#### Part 1: Name by Side Lengths
a. Isosceles
b. Scalene
c. Equilateral
d. Isosceles
e. Scalene
f. Isosceles

#### Part 2: Name Each Pictured Triangle
g. Equilateral
h. Isosceles
i. Scalene
j. Isosceles

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📌 Summary:

- Use side length equality to classify triangles.
- Equilateral → all sides equal
- Isosceles → two sides equal
- Scalene → no sides equal

This worksheet reinforces understanding triangle classification based on side lengths.