If the perimeter of RT △ ABC is 24 and the median length on its hypotenuse is 5, then the area of RT △ ABC is______ .

If the perimeter of RT △ ABC is 24 and the median length on its hypotenuse is 5, then the area of RT △ ABC is______ .

If the length of the middle line on the hypotenuse is 5, then the length of the hypotenuse is 10. Let two right angle sides be a, B. then a + B = 14 ①,a2+b2=100… ② 2 + B2 + 2Ab = 196 ③ If 2Ab = 96, then AB = 48, the area of RT △ ABC is 12ab = 24