Aright triangle △abc with right angle c is inscribed in a circle. find the radius of this circle if: given m∠c = 90°, k(o, r) inscribed in △abc, ac = 18 cm, m∠b = 30°. find r.

18 cm

Step-by-step explanation:

find the hypotenuse using 30, 60, 90 rule then divide it by 2 to find the radius

P.S. posting all of the RSM questions aren't you

The radius is 18 cm

Step-by-step explanation:

Given that a right triangle △ABC with right angle C  is inscribed in a circle.

Also, AC = 18 cm, m∠B = 30°

we have to find the radius of this circle.

In ΔABC

As given right angle i.e angle C is of 90° which is angle formed in the semicircle. Hence, the hypotenuse side must be the diameter of circle.

Diameter=36 cm

or

step-by-step explanation:

we need to solve for 'x' the following equation:  

we have that:

⇒

⇒ ⇒

factorizing, we get that:

  ⇒

then, the solutions are: or

nothing extraneous has been found!

2x + 8

step-by-step explanation: