Question

Y

In the diagram, AB = 10 and AC = 210. What is the
perimeter of ABC?
ch
A (8,4
O 10 units
4 3 2
O 10+ 210 units
O 20 units
X
O 20+ 2/10 units
2 3 4 5
B (5,-2)
C (5,-2)
3

Answer 1

9514 1404 393

Answer:

20 +2√10 ≈ 26.3 units

Explanation:

Length AB is given as 10 units. Length AC is given as 2√10 ≈ 6.325 units. The length BC is the difference of the x-coordinates of its end points, since they are on a horizontal line: 5 -(-5) = 10 units.

The perimeter is the sum of the lengths of the sides of the triangle.

P = AB +AC +BC = 10 +2√10 +10 = 20 +2√10 ≈ 26.3 . . . units