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What is the radius of the incircle of a triangle with sides 18 24 30?

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What is the radius of the incircle of a triangle with sides 18 24 30?

Let ABC be a triangle with AB=18cm, BC=24cm and AC=30cm and a circle is inserted in triangle with radius ‘r’. Let O be the centre of the circle. So, the answer is C. Note: There is a shortcut to solve this problem using the formula, radius = (a+b−c2) if a, b are the sides and c is the hypotenuse of the triangle.

How do you find the radius of an Incircle of a triangle?

Calculating the radius Its radius, the inradius (usually denoted by r) is given by r = K/s, where K is the area of the triangle and s is the semiperimeter (a+b+c)/2 (a, b and c being the sides).

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What is the radius of the circle inscribed in a triangle with sides of length 12 cm 35 cm 37 cm?

We have to find the radius of inscribed circle in a triangle with sides of length 12cm , 35 cm and 37 cm. solution : see diagram, let O is the centre of inscribed circle in a triangle ∆ABC. Therefore the radius of circle is 5cm.

What is the radius of a circle inscribed in a triangle with sides of length 5 12and 13 units?

2 units
Circle EFD is the incircle of triangle ABC with radius r. We have to find the value of r. Now, we know that the two tangents that are drawn from an exterior point to a circle are equal. Therefore the radius of the incircle of a triangle whose sides are 5, 12 and 13 units is 2 units.

What is incircle radius?

An incircle is an inscribed circle of a polygon, i.e., a circle that is tangent to each of the polygon’s sides. The center of the incircle is called the incenter, and the radius. of the circle is called the inradius.

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What is inradius formula?

Its radius, the inradius (usually denoted by r) is given by r = K/s, where K is the area of the triangle and s is the semiperimeter (a+b+c)/2 (a, b and c being the sides).

What is incircle in a triangle?

In geometry, the incircle or inscribed circle of a triangle is the largest circle contained in the triangle; it touches (is tangent to) the three sides. The center of the incircle is a triangle center called the triangle’s incenter.