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

the answer for this question is 38

x = 17

step-by-step explanation:

in the given figure, two triangles are inscribed in a circle where ∠bae ≅ ∠dae which makes the side be and de equal so we can write it as:

3x - 24 = x + 10

solving this equation for x to get:

3x - x = 10 + 24

2x = 34

x = 34/2

x = 17

therefore, the value of x = 17.