Ac=14 bc=11 what is the radius

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

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

b. 1.25 hr

step-by-step explanation:

if you have a constant speed of 60 mph, then you have a ratio between 60 mi. to 1 hr. dividing both sides by 60 we get the ratio

1 mi. to

then mult. both sides by 75 we get the ratio

75 mi. to

simplifying we get

75 mi. to

or 1.25 hr.