Question

Abc is an isosceles triangle right angled at C with AC=4cm.find the lenghth AB.

Answer 1

Hope it helps.

Follow me please

Answer 2

Given:

  ABC is isosceles right angled triangle right angle at C.

  AC=4cm.

To find the value of unknown side AB.

Answer:

The Length of side AB=4√2cm

Step-by-step explanation:

Since ABC is isosceles right angled triangle right angled at C

      AC=BC=4;

Since in an isosceles triangle two sides are equal.

Given: The triangle is right angled at C.

Let AC=b; BC=a; AB=c;

Applying pythagoras theorem.

  In a right angled triangle ABC right angled at C.

b^2+a^2=c^2;

b=a=4;

Therefore,

   c^2=4^2+4^2;

 c^2=16+16

c=√32

c=4√2.

Which implies AB=4√2

The length of unknown side is found to be 4√2 with the help of pythagoras theroem