Ac=14 bc=11 what is the radius

Answer:
Radius = √75 or 5√3 or 8.7
Step-by-step 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
Answer:
radius = ab = √75
Step-by-step 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