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7. In a right triangle ABC, ZB =90°.(a) If AB = 6 cm, BC = 8 cm, find AC ( If AC=13 cm, BC=5 cm, find AB​

Answer»

Given:

  • Given: ABC is a right angled triangle.
  • Given: ABC is a right angled triangle.Angle B = 90°

In the FIRST CONDITION:

AB = 6cm

BC = 8 cm

AC = ?

To find AC:

Using pythagores theorem:

H² = P² + B²

AC² = 6² + 8²

AC² = 36 + 64

AC² = 100

AC = √100 = 10

Therefore, in the first case AC = 10 cm

In the second condition :

AC = 13cm

BC = 5cm

AB = ?

To find AB:

Using PYTHAGORES theorem:

H² = P² + B²

13² = AB² + 5²

169 = AB² + 25

169 - 25 = AB²

AB² = 144

AB = √144 = 12

Therefore, in the second case AB = 12cm.


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