Question

Ac=14 bc=11 what is the radius

Answer 1

radius = ab = √75

Explanation:

Triangle ABC is a right triangle so to find the radius, aka one of the sides of the triangle, we need to use the Pythagorean theorem.

ac^2 = bc^2 + ab^2 Pythagoras Theorem

14^2 = 11^2 + ab^2 Substitution

196 = 121 + ab^2 Alg

75 = ab^2 Alg

ab = √75 Alg = radius

Answer 2

Radius = √75 or 5√3 or 8.7

Explanation:

This forms a right triangle meaning you can use Pythagorean Theorem to solve for the missing side which, in this case, will equal the radius.

Let a = radius

a² + b² = c²

a² + 11² = 14²

a² + 121 = 196

a² = 75

a = √75 = 5√3 ≈ 8.7