Question

ABC is right angled at B . IF AB =8 cm and BC = 6cm Find the length of Ac​

Answer 1

$\bigstar$ Question:

• ABC is a right angled triangle with B as a right angle. If AB = 8cm and BC = 6 cm. Then find the length of AC.

$\bigstar$ Given:

• ABC is right angled at B.
• AB = 8 cm
• BC = 6 cm

$\bigstar$To find:

• Length of AC.

$\bigstar$ Solution:

Here,

AB = 8 cm

$\angle$B = 90°

BC = 6 cm

So, AC (which is the hypotenuse)

= ?

So we can use Pythagoras theorem.

It states that:

• Hypotenuse = √{(Side 1)² + (Side 2)²}

So,

Hypotenuse

= √{(Side 1)² + (Side 2)}²

$\implies$ AC = √{(AB)² + (BC)²}

$\implies$ AC = √{(8cm)² + (6cm)²}

$\implies$ AC = √(64 cm² + 36 cm²)

$\implies$ AC = √(100 cm²)

$\implies$ AC = √{(10 cm) (10cm)}

$\implies$ AC = 10 cm

$\bigstar$ Answer:

$\therefore$AC = 10 cm

Answer 2

Answer:

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