If triangle ABC is a right-angled triangle in which right angled at C. If AC= 6cm and BC= 8cm, then what is the length of AB?
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spelling is Pythagoras theorem
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Solution :
Here, is ∆ ABC which is right angled at C in which
- AC = 6cm
- BC = 8cm
We've to find the length of the AB.
As we know that
- (H)² = (P)² + (B)² [ Pythagoras theorem ]
Where
- H = hypotenuse of the right angled triangle
- P = perpendicular of the right angled triangle
- B = base of the right angled triangle
Let
- AC = perpendicular of the right angled triangle
- BC = base of the right angled triangle
- AB = hypotenuse of the right angled triangle
Now
➟ (AB)² = (AC)² + (BC)²
➟ (AB)² = (6)² + (8)²
➟ AB² = 36 + 64
➟ AB² = 100
➟ AB = √100
➟ AB = 10cm
Therefore, length of the AB is 10cm.
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