Question

Iba constructed a triangle ABC in her notebook. AB was 12 centimeters long. BC was 10 centimeters long. Select all measurements that could be the length of AC. a) 2cm b) 3cm c) 8cm d) 16cm e) 22cm f) 25cm

Answer 1

Given:

Triangle ABC

AB = 12 cm
BC = 10 cm

If the triangle is a right triangle, the possible measurement of AC is

AC^2 = AB^2 + BC^2 

AC^2 = 12^2 + 10^2

AC = 15.62 or 16 cm