Question

Can a right triangle have a leg that is 10inches long and a hypotenuse that is also 10inches long? Why or why not? Explain your reasoning

Answer 1

No, the smallest ratio between a hypotenuse and a leg is in the 45/45/90 special case. In this case, the ratio between the hypotenuse and either legs is

√2:1

If the leg is 10 inches long, the smallest the hypotenuse can be is 10√2.