A is the point (1, 5), B is the point (4,7) and C is the point (5, 3). Triangle ABC is
A. Right-angle B. Scalene with no right angle C. equilateral D. isosceles
Correct Answer: B
Explanation
To determine the type of triangle formed by the points \( A(1, 5) \), \( B(4, 7) \), and \( C(5, 3) \), we first need to calculate the lengths of the sides of the triangle and then use these lengths to classify the triangle.
Step-by-Step Solution:
1. Calculate the lengths of the sides using the distance formula:
The distance formula between two points \((x_1, y_1)\) and \((x_2, y_2)\) is: \[ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \]