Question

in a right angled triangle the sum of the length of the hypotenuse and the shortest side is 64 the length of the third side is twice the difference of the length of hypotenuse and the shortest side. find the length of hypotenuse

Answer 1

Answer:

The sum of lengths of the hypotenuse and a side of a right angled triangle is given. Show that the area of the triangle is maximum when the angle between them is 60∘.

Answer 2

Answer:

40

b+c=64

a=2(c-b)

a^2+b^2=c^2

a^2=c^2-b^2

a^2=(c-b)(c+b)

a=32

c+b=64

c-b=16

c=40