How many right angled triangles are possible such that their hypotenuse is 75cm and sides are of integral measure ?

Answer 1

75^2 = b^2 + h2 = 5625

45-60-75 is one right triangle

which is an inflated verson of 3-4-5 multiplied by 15

45^2 +60^2 = 2025+3600= 5625

another right triangle is 21-72-75

it's an inflated version of 7-24-25, multiplied by 3

7^2 +24^2 = 25^2

49 + 576 = 625

21^2 +72^2 = 75^2

441`+5184=5625

a very close to right triangle is 51-55-75 or 50.99-55-75

not all integers, but suprisingly very close

51-55-75 has an angle approximately 89.99 degrees, virtually a right triangle

assuming you mean "integer" sides, not "integral" measure