Question

1. classify the following triangles by their sides.

Explanation:

Step1: Recall triangle - side classification rules

A triangle with all three sides equal is an equilateral triangle. A triangle with two sides equal is an isosceles triangle. A triangle with all three sides of different lengths is a scalene triangle.

Step2: Analyze triangle a

Since all three sides of triangle a are marked as equal (the tick - marks on all sides), it is an equilateral triangle.

Step3: Analyze triangle b

Two sides of triangle b are marked as equal (the tick - marks on two sides), so it is an isosceles triangle.

Step4: Analyze triangle c

All three sides of triangle c have different lengths, so it is a scalene triangle.

Step5: Analyze triangle d

All three sides of triangle d have different lengths (5 in, 7 in, 3 in), so it is a scalene triangle.

Step6: Analyze triangle e

All three sides of triangle e are equal (2 yd each), so it is an equilateral triangle.

Step7: Analyze triangle f

Two sides of triangle f are equal (both 2 in), so it is an isosceles triangle.

Answer:

a. Equilateral triangle
b. Isosceles triangle
c. Scalene triangle
d. Scalene triangle
e. Equilateral triangle
f. Isosceles triangle