Middle School

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D-I are the measurements of the lengths of the sides of triangles. Identify the types of triangles.

d. 45 cm, 61 cm, 60 cm

e. 30 cm, 31 cm, 30 cm

f. 4 cm, 5 ft, 4 cm

g. 89 mm, 89 mm, 89 mm

h. 9 in, 5 in, 3 in

i. 22 cm, 22 cm, 22 in

Answer :

The types of triangles are:

d. Scalene

e. Isosceles

f. Isosceles

g. Equilateral

h. Scalene

i. Equilateral

Here's the type of triangle for each set of measurements:

d. 45 cm, 61 cm, 60 cm:

All sides are different lengths.

Therefore, this is a scalene triangle

e. 30 cm, 31cm, 30 cm:

Two sides have equal lengths (30 cm).

This is an isosceles triangle

f. 4 cm, 5ft, 4 cm:

We need to convert feet to the same unit as cm for comparison.

1ft = 12 inches = 2.54 cm

5ft = 5 * 2.54 cm ≈ 12.7 cm

We have two sides with equal length (4 cm) and one different length (12.7 cm).

This is also an isosceles triangle

g. 89mm, 89mm, 89mm:

All three sides have the same length.

This is an equilateral triangle, a special type of isosceles triangle where all sides are equal.

h. 9 in, 5in, 3 in:

All sides have different lengths.

This is a scalene triangle

i. 22cm, 22cm, 22in:

We need to convert inches to centimeters for comparison.

22in = 22 * 2.54 cm ≈ 55.88 cm

Comparing the converted lengths, we see all sides have equal lengths.

This is an equilateral triangle

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