Answer:

AC =10cms

AB =12cms

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Step-by-step explanation:

Verified answer

Answer:

(a) AC = 10cm

(b) AB = 12cm

Step-by-step explanation:

Given - In the right triangle ABC, ∠B = 90°

Thus AC is the hypotenuse.

To find - (a) AB = 6 cm, BC = 8 cm, AC = ?

According to Pythagoras theorem,

AC² = AB² + BC²

AC² = (6)² + (8)²

AC² = 100

AC = √100 = 10 cm

(b) AC = 13 cm, BC = 5 cm, AB = ?

According to Pythagoras theorem

AC² = AB² + BC²

(13)² = AB² + (5)²

169 = AB² + 25

AB² = 169 - 25 = 144

AB = √144 = 12 cm

Therefore, the length of sides AC and AB in the respective right triangles are AC = 10 cm and AB = 12 cm.