Respuesta :

AC = √ ( AB² + AC² ) By Pythagoras theorem ....

Answer:

The measure of AC is 180°

Step-by-step explanation:

Given: [tex]\angle ABC=90^\circ[/tex]

ABC is a right angle triangle at ∠B=  90°

We can say ΔABC inscribed in semi-circle whose diameter is AC.

We need to measure the angle AOC

The angle is subtended by an arc at the center of a circle is double the angle subtended at any point on the circumference at same arc.

Therefore, ∠AOC=2 ∠ABC

∠AOC = 2 x 90

∠AOC = 180°

Hence, The measure of AC is 180°

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