Question

Ehat is the radius of the circumcircle of a triangle whose side are $30cm$. $36cm$ and $30cm$

• A. $19cm$
• B. $16cm$
• C. $17cm$
• D. $18cm$

Answer 1

The correct option is A $19cm$

REF.Image

Dimension of triangle = 30 cm , 36 cm, 30 cm

In $△ABC$

By Pythagoras Theorem

$A{B}^2=A{C}^2+B{C}^2$

$AC=\sqrt{{30}^2-{18}^2}$

$AC=24$

$\therefore$ area of $△=\frac{1}{2}\times 24\times 36$

$=432$

$\therefore$ radius of circum centre = $\frac{abc}{90}$

$\Rightarrow \frac{30\times 30\times 36}{4\times 432}18.75$

radius $\Rightarrow 18.75$