Question

If a=5,b=12,c=13 then R=​

Answer 1

Answer:

The answer is $\dfrac{13}{2}$

Step-by-step explanation:

Given $a=5,b=12,c=13$

Notice $a^2+b^2=c^2$

$\Rightarrow$ Given triangle is right angles

Area of triangle, $\Delta =\frac{1}{2}\times a\times b=\frac{1}{2}\times 5\times 12=30$

Therefore

   $R=\dfrac{abc}{4\Delta}=\dfrac{5\times 12\times 13}{4\times 30}=\dfrac{13}{2}$