Question

90. In a right angle triangle sides forming right angle are 8 cm. and 15 cm. Find radius of
a circumcircle drawn in the triangle.
(1) 7.5 cm.
(2) 8.5 cm
(3) 6.5 cm.
(4) 5.5 cm​

Answer 1

Answer:

(2) 8.5 cm

Step-by-step explanation:

The radius of a Circumcircle drawn in the triangle = 8.5cm

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