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

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

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).

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

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.

What is the radius of circle inscribed in a triangle with sides 3cm 4cm and 5cm?

Here s =(3 cm+4cm+5cm)/2=12cm/2=6cm. Where ∆ = area ; s = semiperimeter. So ∆ = 6cm^2/6cm = 1cm. So radius of inscribed circle = 1cm.

How do you find the inradius of a triangle given the sides?

By Heron’s Formula the area of a triangle with sidelengths a,b,c is K=√s(s−a)(s−b)(s−c), where s=12(a+b+c) is the semi-perimeter. You can then use the formula K=rs to find the inradius r of the triangle.

What is Circumradius and inradius of a triangle?

Inradius The inradius( r ) of a regular triangle( ABC ) is the radius of the incircle (having center as l), which is the largest circle that will fit inside the triangle. Circumradius: The circumradius( R ) of a triangle is the radius of the circumscribed circle (having center as O) of that triangle.

Can a triangle have sides with lengths 3cm 4cm and 5cm?

YES, IT’S POSSIBLE! If the largest among the three sides of a triangle is lesser than the sum of the others, then it’ll be possible to draw the triangle. Here, in 3 cm, 4 cm, 5 cm, 5 cm is the largest.

Does a triangle with side lengths 15 12 9 exist?

Therefore yes, it is a right triangle.

What is the radius of the inner circle of a triangle?

The radius of the inner circle of triangle is 4 cm and the segment into which one side is divided by the point of contact are 6 cm and 8 cm determine the other two sides of the triangle.

How do you find the radius of a circle in geometry?

Given the side lengths of the triangle, it is possible to determine the radius of the circle. First, form three smaller triangles within the triangle, one vertex as the center of the incircle and the others coinciding with the vertices of the large triangle.

What is the definition of incircle of a triangle?

The centre of the circle which touches all the sides of a triangle, is called the incenter of the triangle. The radius of the incircle is called inradius. This article is about the definition of incircle of a triangle, its construction and formula to calculate the radius of the incircle of a triangle.

What is the length of a right triangle in cm?

A right triangle has side lengths of 7 cm, 24 cm, and 25 cm. A similar triangle has a hypotenuse of 50 cm. What is the area of the larger triangle?