Answer:
✔️∆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.
