Classify each triangle by its side lengths

ACD
ABC
ABD

✔️∆ACD is a scalene triangle

✔️∆ABC is an isosceles triangle

✔️∆ABD is a scalene triangle

Step-by-step explanation:

✔️All three sides of ∆ACD are of different lengths, therefore, judging by side lengths, ∆ACD is a scalene triangle.

✔️∆ABC has two equal side lengths, AC and BC. ∆ABC is an isosceles triangle because isosceles triangles have two equal sides.

✔️BC = AC

AC² = 5² - 3² (pythagorean theorem)

AC² = 25 - 9 = 16

AC = √16 = 4

Therefore, BC = 4

In ∆ABD,

BD = 4 + 3 = 7

AD = 5

AB = 5.7

All three sides are unequal, therefore ∆ABD is a scalene triangle.