Question

If in a right angled triangle, square of hypotenuse is equal to twice the product of other two sides, then one of acute angles of triangle is: 60 degree , 45 degree, 30 degree or 75 degree?

Answer 1

Dear student
Let the three sides of triangle are base(b), perpendicular(p) and hypotenuse(h)
then according to the given condition h^2 = 2b*p
or b^2 + p^2 = 2b*p
or (b-p)^2 = 0
or b = p
so triangle is isosceles and angle = 45
Regards