Question

For finding AB and Be with the
help of information en in
complete the activity
​

Answer 1

Answer:

b is equal to ✓4 is the correct answer

Answer 2

Given :

• AC = √8 units

• AB = CB

To find :

The length of AB and BC.

Solution :

According to the question , the length of AB and BC are equal , so we can represent them through a single variable i.e, x.

According to the figure , ABC is Right-angled triangle , right-angled at B.

Here ,

• AC = Hypotenuse
• AB = Base
• CB = Height

So by using the Pythagoras theorem we can determine the length of AB and BC.

We know the formula for Pythagoras theorem i.e,

$\boxed{\bf{H^{2} = B^{2} + P^{2}}}$

Where :

• H = Hypotenuse
• B = Base
• P = Height

Now using the Pythagoras theorem and substituting the values in it, we get :

$:\implies \bf{H^{2} = B^{2} + P^{2}}$

$:\implies \bf{(\sqrt{8}^{2} = x^{2} + x^{2}}$

$:\implies \bf{8 = x^{2} + x^{2}}$

$:\implies \bf{8 = 2x^{2}}$

$:\implies \bf{\not{8}{2} = x^{2}}$

$:\implies \bf{\not{\not{8}}{\not{2}} = x^{2}}$

$:\implies \bf{4 = x^{2}}$

$:\implies \bf{\not{4}{2} = x}$

$:\implies \bf{2 = x}$

$\boxed{\therefore \bf{x = 2\:units}}$

Hence the value of x is 2 .

Since we have taken the value of AB and BC as x , the value of AB and BC is 2 . (As ,AB = BC = x = 2).