Question

Ab=10 ac=10 bc=16 r?

Answer 1

Да, все верно, треугольник я так понял, существует

Answer 2

It seems like you are referring to a triangle with sides labeled as AB, AC, and BC, and you want to find the circumradius (r) of this triangle. The circumradius is the radius of the circumscribed circle that passes through all three vertices of the triangle. To find the circumradius, you can use the formula:

r = (abc) / (4 * Δ)

where a, b, and c are the side lengths of the triangle, and Δ is the area of the triangle.

To find the area of the triangle, you can use Heron's formula:

Δ = √(s * (s - a) * (s - b) * (s - c))

where s is the semi-perimeter of the triangle, given by:

s = (a + b + c) / 2

Let's calculate the circumradius (r) using the given side lengths AB = 10, AC = 10, and BC = 16.

Step 1: Calculate the semi-perimeter (s): s = (AB + AC + BC) / 2 s = (10 + 10 + 16) / 2 s = 18

Step 2: Calculate the area (Δ): Δ = √(s * (s - AB) * (s - AC) * (s - BC)) Δ = √(18 * (18 - 10) * (18 - 10) * (18 - 16)) Δ = √(18 * 8 * 8 * 2) Δ = √(2304) Δ = 48

Step 3: Calculate the circumradius (r): r = (AB * AC * BC) / (4 * Δ) r = (10 * 10 * 16) / (4 * 48) r = 160 / 192 r = 5/6 ≈ 0.83

So, the circumradius of the triangle is approximately 0.83 units.