Part A
Use Pythagorean theorem to confirm the right triangle:
- 12² + 5² = 13²
- 144 + 25 = 169
- 169 = 169
Confirmed
Part B
The triangles are similar:
Corresponding sides have same ratio:
Substitute known values and find the missing length:
- 12/24 = 13/RT
- 1/2 = 13/RT
- RT = 13*2
- RT = 26