Question

If the sides of triangles are 8,15,17 then radius of the Circumcenter is

Hint:

### In this question, we have given a sides of triangle which is 8, 15 and 17 . If you look carefully this three sides are form a triad . Use Pythagoras theorem and then find the circumcenter which is hypotenuse divided by 2.

## The correct answer is:

### Here we have to find the radius of Circumcenter.

Now , we have given sides triangle which is ,

a = 8 , b = 15 and c = 17

we know that Pythagoras theorem,

c^{2} = a^{2}+ b^{2},

LHS = c^{2} = 17^{2} = 289

RHS = a^{2} + b^{2} = 8^{2} + 15^{2}

= 64 + 225 = 289

So , LHS = RHS, therefore, the triangle is right angled triangle and 17 is hypotenuse.

Radius of circumcenter =

Therefore, the correct answer is

In this question, we have to find the radius of the circumcenter. The given sides of triangle is triad of the Pythagoras theorem then the triangle is right angled.

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