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

Question

Melvin Perry

Mathematics

3 January, 19:02

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

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Answers (1)

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Dillon · 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