in a right angle triangle sides forming right angle are 8cm and 15 cm. find radius of a circumcircle drawn in the triangle
Answers
Answer:
The radius of a Circumcircle drawn in the triangle = 8.5cm
Step-by-step explanation:
The center of Circumcircle of a right angled triangle is the midpoint of hypotenuse.
Therefore radius is the half of the hypotenuse
It is given that
In a right angle triangle sides forming right angle are 8cm and 15 cm.
Therefore the base of the triangle be 8cm and height = 15 cm
To find hypotenuse
hypotenuse ^2 = base^2 + height ^2 = 8^2 + 15^2 = 64 + 225 = 289
Therefore, hypotenuse = 17
To find the radius of Circumcircle
radius = 17/2 = 8.5 cm
Answer:
8.5 cm
Step-by-step explanation:
Given: In a right angle triangle sides forming right angle are 8 cm and 15 cm. We have to find the circumradius or the radius of a circumcircle. For that we can use Pythagoras theorem which states that the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
So AC^2 = AB^2 + BC^2
= 8^2 + 15^2
= 64 + 225
AC^2 = 289
AC = 17
Circumradius is given by IR = h/2 = 17/2 = 8.5 cm
hence radius is 8.5 cm