# In the triangle ABC, angle A = 50 °, angle C = 70 ° O-center of the circle OB = 10 cm, find the radius

September 15, 2021 | education

| **In the triangle ABC, angle A = 50 °, angle C = 70 ° O-center of the circle OB = 10 cm, find the radius of the circle inscribed in the triangle.**

In order to solve this problem, we need to subtract 50 and 70 twice from the angle b and we will get its value:

h = 180 – 50 – 70 = 60.

Let’s draw the radius of OD, which will be perpendicular to the side of the aircraft.

OB – the leg, which lies opposite the angle 30, therefore the radius is the leg, radius = 0.5 * 10 = 5.

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