Question

Help me please. I’ll give you the brainliest.

Answer 1

Answer:

AB = 14.0 cm

Step-by-step explanation:

This requires us to use the Pythagorean Theorem twice.

We have   (20 cm)^2  =  (6 cm)^2  +  (AC)^2

(AB)^2  +  (BC)^2  = (AC)^2

BC = 13 cm

(AB)^2  = (AC)^2 - (BC)^2

(20 cm)^2  =  (6 cm)^2  +  (AC)^2

(AC)^2 = (20 cm)^2 - (6 cm)^2

so...

(AB)^2 = 20^2 - 6^2  - 13^2

(AB)^2 = 400 - 36  - 169 = 195

AB = root(195) = 13.964 cm

rounded  AB = 14.0 cm