Question

triangle abc is an isosceles triangle in which ab = ac. what is the perimeter of △abc? 10 + √10 units; 5 + √10 units; 3√10 units; 15 units

Explanation:

Step1: Identify coordinates

A(-1,6), B(-1,1), C(2,2)

Step2: Calculate AB length

AB = √[(-1 - (-1))² + (1 - 6)²] = √[0 + 25] = 5

Step3: Calculate AC length

AC = √[(2 - (-1))² + (2 - 6)²] = √[9 + 16] = 5

Step4: Calculate BC length

BC = √[(2 - (-1))² + (2 - 1)²] = √[9 + 1] = √10

Step5: Sum for perimeter

Perimeter = AB + AC + BC = 5 + 5 + √10 = 10 + √10

Answer:

10 + √10 units