Question

Find the perimeter of AABC.

B
5x-19
2x +11
А
16
10
0 31
0 47
78

Answer 1

Answer: 78

Explanation:

Answer 2

78

Explanation:

Since the base angles are congruent, then the triangle is isosceles and

AB = BC , that is

5x - 19 = 2x + 11 ( subtract 2x from both sides )

3x - 19 = 11 ( add 19 to both sides )

3x = 30 ( divide both sides by 3 )

x = 10

Then

AB = BC = 2x + 11 = 2(10) + 11 = 20 + 11 = 31

Thus

perimeter = 31 + 31 + 16 = 78