Question

if the hypotenuse of Isosceles right triangle is 7root3 find the area of circle inscribed in it

Answer 1

first find out other 2 sides of isosceles triangle
h ² = b²+ Al ²

b = Al
then find semi perimeter
ps= a + b +c / 2
p = a + b + c
then apply formula for radius of circle
r ² = (PS -a ) x (PS - b) X ( PS - c) divded by p
area of circle sp X r
thku