Question

in a triangle one angle is 60 degree and the length of opposite side is 5cm find the circumradius of the triangle​

Answer 1

Given:

in a triangle, one angle is 60 degree and the length of the opposite side is 5cm

To find:

Find the circumradius of the triangle​

Solution:

From given, we have the data as follows.

in a triangle, one angle is 60 degree and the length of the opposite side is 5cm  

Circumradius is half the value of the hypotenuse.

Now, we will compute the hypotenuse value.

The hypotenuse is calculated as follows.

We will consider the trigonometric function 'sin'.

sin 60 = o/h

√3 /  2 = 5 / h

h = 5 × 2 / √3

h = 10/√3 cm

The circumradius of the triangle​ is,

h/2 = (10/√3)/2 = 5/√3 cm

Therefore, the circumradius of the triangle​ is 5/√3 cm