Question

6. In a right triangle ABC, angle B = 90°. If AB = 12 cm, BC = 16 cm,
find AC​

Answer 1

Answer:

20cm

Step-by-step explanation:

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Answer 2

Answer:

20

Step-by-step explanation:

# Finding the value of AC using Pythagoras Theorem in ΔABC:

  ($Hypotenuse^{2}$) = ($Base^{2}$) + ($Perpendicular^{2}$)

  Therefore, $AC^{2}$ = $AB^{2}$ + $BC^{2}$

                    $AC^{2}$ = $12^{2}$ + $16^{2}$

                     $AC^{2}$ = 144 + 256

                     AC = $\sqrt{144 + 256}$

                      AC = $\sqrt{400}$

                     AC = $\sqrt{20 X 20}$

                      AC = 20 Ans.