Question

ABC is a triangle, right angled at C. If AC = 5 cm, BC = 12 cm,

then find the length of AB.​

Answer 1

Answer :

Length of AB is 13 cm.

Step-by-step explanation :

Given :

• ABC is a Δ , right angled at C.

• AC = 5 cm

• BC = 12 cm

To find :

• Length of AB = ?

SoluTion :

In ΔABC,

By using Pythagoras theorem,

➟ AB² = AC² + BC²

➟ AB² = 5² + 12²

➟ AB² = 25 + 144

➟ AB² = 169

➟ AB=√169

➟ AB = 13 cm

Hence, Length of AB is 13 cm .

Additional information :

1. Pythagoras theorem is also known as Pythagorean theorem.

2. Pythagoras theorem is the relation in Euclids geometry, of the three sides of a right triangle .

3. It is stated as in a right-angled Δ , the square of the hypotenuse side is equal to the sum of squares of the other 2 sides .

In any ΔABC,

➟ Hypotenuse² = Perpendicular² + Base²

➟ C² = A² + B²