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a, b and c are the sides of a right triangle with c as hypotenuse. The radius r, of the circle which touches the three sides of the triangle is :

a, b and c are the sides of a right triangle with c as hypotenuse. The radius r, of the circle which touches the three sides of the triangle is : Correct Answer r  = <span class="math-tex">\(\frac{(a + b - c)}{2}\)</span>

Given:

a, b and c are the sides of a right triangle with c as the hypotenuse. 

An incircle with radius 'r'. 

Formula used:

Inradius = (Base + Height - Hypotenuse)/2 

Calculation:

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∴ Inradius of the circle with radius 'r' = (a + b - c)/2 

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