Question

A triangle has vertices (2, 5), (8, 3), and (2, 1). Classify the triangle by its angles and its sides. right isosceles acute equilateral right equilateral acute isosceles

Answer 1

acute isosceles

Explanation:

Answer 2

acute isosceles

Explanation:

Let A(2,5),B(8,3),C(2,1)

By distance formula,AB=BC=40^0.5

Hence, it is an isosceles triangle

Since AC=3, by cosine formula, AC=√(AB^2)+(BC^2)-2(AB)(BC)cosABC

angle ABC=36.8698765

Hence,it is an acute isosceles triangle