Respuesta :

Answer:

96 cm

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse

110 ^2 + b^2 = 146^2

12100+b^2 =21316

Subtract 12100 from each side

b^2 = 21316-12100

b^2 =9216

Taking the square root of each side

sqrt( b^2) = sqrt(9216)

b =96

r=96cm

Step-by-step explanation:

a²+b²=c²

146²-110²=c²

21316-12100=c²

√9216=c²

96=c