Question

Abc is a right triangle in which angle b is 90 degree.A circle is inscribed in the triangle.If ab=8 cm and bc=6 cm find the radius of circle

Answer 1

Answer:

Radius = 5cm

Step-by-step explanation:

It is given that,

ABC is a right triangle in which angle B is 90 degree.

AB=8 cm and BC=6 cm find the radius of circle

If a circle is inscribed in the triangle, then the center of circle be the midpoint of hypotenuse and radius is half of hypotenuse.

To find hypotenuse of ΔABC

Here AC is the hypotenuse

$AC^{2}=AB^{2}+BC^{2}$

$AC^{2}=8^{2}+6^{2}$

$AC^{2}$=64+ 36 = 100

Ac = 10 cm

To find the radius

Radius of circle is inscribed in the triangle =10/2 = 5 cm