Ad is the height of triangle ABC, AB is equal to 10, ad is equal to 8, BC is equal to 12, triangle ABCD is isosceles triangle

Ad is the height of triangle ABC, AB is equal to 10, ad is equal to 8, BC is equal to 12, triangle ABCD is isosceles triangle

∵AD⊥BC AB=10 AD=8
Ψ BD = 6 (Pythagorean theorem)
∵BC=12
∴DC=6 ∴AC=10
∴AB=AC
The triangle ABC is an isosceles triangle