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Exradius (Properties of a triangle)

r₁ = Δ / (s − a)

Where: Δ = area of triangle, a = side opposite A, r₁ = Exradius, s = semi-perimeter / arc length

Solved example

Given: Delta = 7, a = 5, s = 10
Find: r_1 (Exradius)

  1. Formula: r₁ = Δ/(-a + s)
  2. Substitute the values: r₁ = 7/(10 - 5)
  3. Result: r₁ = 1.4

Answer: r_1 = 1.4

Calculator

How to calculate Exradius (Properties of a triangle)

  1. Write down the formula: r₁ = Δ / (s − a).
  2. Note the known values (Δ, a, s).
  3. Substitute them and simplify to find r_1.
  4. Use the calculator above to solve for any letter.

Frequently asked questions

What is the formula for Exradius (Properties of a triangle)?

The formula is r₁ = Δ / (s − a), where Δ = area of triangle, a = side opposite A, r₁ = Exradius, s = semi-perimeter / arc length.

What is Exradius (Properties of a triangle) when Delta = 7, a = 5, s = 10?

r_1 = 1.4. Substitute the values into r₁ = Δ / (s − a) and simplify.

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