Question

Given: AABC = ADEFDetermine the perimeter of A ABC.A) 13 units B) 28 units C) 39 units D) 42 units

Answer 1

1) Given these two congruent triangles, we have a right triangle. So we can use the metric relations for the right triangle

2) So we can write for the triangle ΔDBC, let's find the leg DB

a²=b²+c²

BC²=DC²+DB² BC is the hypotenuse from ΔDBC

15²= 12² +DB²

225= 144 +DB² Flip it

DB²=225-144

√DB²=√81

DB =9

If AB = 14, DB = 9 then DA = 14-9 DA = 5

Now let's find the hypotenuse from