In triangle ABC, angle A is 90 ° AC = 30cm, and AB = 16cm How many centimeters

In triangle ABC, angle A is 90 ° AC = 30cm, and AB = 16cm How many centimeters is the radius of the circle around this triangle?

If it is known that a circle is described around a right-angled triangle, this is a special case, which means that the center of this circle will coincide with the middle of the hypotenuse of this triangle, and its radius will be equal to half of the hypotenuse.

1) Let us find, by the Pythagorean theorem, what is the longest side in triangle c, if legs a and b are known:

a ^ 2 + b ^ 2 = c ^ 2

√30 ^ 2 + 16 ^ 2 = √900 + 256 = √1156 = 34 (cm).

Let’s find what the radius of the circumscribed circle is:

2) 34/2 = 17 (cm).

Answer: The correct answer is 17.