Question

In the given figure ∠B = 90 degree
, AB = BC = 2cm, then the length of AC is​

Answer 1

Answer:

2.8 cm is the value of AC

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Answer 2

Answer:

length of AC = 2.8cm

Step-by-step explanation:

given $<$B = 90°, AB= BC= 2cm

the figure forms a right triangle.

In a right triangle the length of the 3rd side can be found using Pythagoras theorem. Pythagoras theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Here, since <B= 90°, the side opposite to the right angle is the hypotenuse. so AC = hypotenuse of the triangle.

Therefore, AC²= AB² +BC²

⇒AC² = 2²+2²

⇒AC²= 8

⇒AC=√8

Therefore, length of AC= 2.8 cm