# A triangle with a radius of 10 cm is inscribed in a circle, one side of which

October 15, 2021 | education

| **A triangle with a radius of 10 cm is inscribed in a circle, one side of which is the diameter. the other side of the triangle is 16 cm find the area of the triangle**

1. ΔАВС – rectangular, since one of its sides (AB) is the diameter of the circumscribed circle. The side being the diameter is the hypotenuse.

Therefore AC and BC are ΔABC legs.

2.AB = R x 2 = 10 x 2 = 20 cm.

3. ВС = √АВ²-АС² (by the Pythagorean theorem).

BC = √20²- 16² = √400 – 256 = √144 = 12 cm.

4. Calculate the area (S) ΔАВС:

S = BC x AC: 2 = 12 x 16: 2 = 96 cm².

Answer: S ΔABC is equal to 96 cm².

One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.