Question

Find the perimeter of ABC wirh vertices A(0,2) B(0,5) C( -6,2)

Answer 1

Answer:   $\bold{9+3\sqrt{5}}$

Step-by-step explanation:

Perimeter is the sum of the sides.

The length of AB is 3. The length of AC is 6. The length of BC can be found by using the Pythagorean Theorem: a² + b² = c²

3² + 6² = BC²

9 + 36 = BC²

45 = BC²

√45 = BC

3√5 = BC

Perimeter = AB + AC + BC

                 =  3  +   6  + 3√5

                 = 9 + 3√5