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Inradius of a Right Triangle
r = (a + b − c)/2
Where: a = a, b = b, c = hypotenuse, r = Inradius
Use the same units for all lengths (e.g. all in cm); areas come out in cm², volumes in cm³.
Solved example
Given: a = 7, b = 5, c = 10
Find: r (Inradius)
- Formula: r = a/2 + b/2 - c/2
- Substitute the values: r = -10/2 + 5/2 + 7/2
- Result: r = 1
Answer: r = 1
Calculator
How to calculate Inradius of a Right Triangle
- Write down the formula: r = (a + b − c)/2.
- Note the known values (a, b, c).
- Substitute them and simplify to find r.
- Use the calculator above to solve for any letter.
Frequently asked questions
What is the formula for Inradius of a Right Triangle?
The formula is r = (a + b − c)/2, where a = a, b = b, c = hypotenuse, r = Inradius.
What is Inradius of a Right Triangle when a = 7, b = 5, c = 10?
r = 1. Substitute the values into r = (a + b − c)/2 and simplify.