Question

Find the area of a right angled triangle if the radius of its circumcircle is 5cm and the altitude drawn to the hypotenuse is 4cm.

Answer 1

( 4 )^= 5^ + S^
16 = 25 +

Answer 2

$\\ \boxed{ \rm \: let \: \triangle \: abc \: be \: right \: angled \: at \: B}$

$\textsf{Then hypotenus \: AC = diameter \: of \: its \: circumcircle}$

$\textsf{ = (5 × 4) = 20cm}$

$\textsf{Let BL⏊AC .Then,BL=2cm}$

$\textsf{Area of triangle ABC}= \rm \huge {\frac{1}{2}} \small ×AC×BL$

$\rm = \large \big( \frac{1}{2} \times 5\times 4\big)cm {}^{2} = 10cm {}^{2}$