Question

If ABC measures 90o , what is the measure of AC

Answer 1

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

Answer 2

The measure of AC is 180°

Explanation:

Given:
`\angle ABC=90^\circ`

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°