If two sides of a right triangle are 6 and 8 respectively, and another right triangle similar to it is 3 and 4 and X respectively, then the value of X.

A. Only 1

B.there can be two.

C. there are more than two, but limited.

D. there are countless

Answer: b

There are two situations in which the two sides of a right triangle are 6 and 8 respectively.

1) Both sides are right angles and the hypotenuse is10;

2) Where 8 is the hypotenuse and the other right angle is 2√7.

So the side lengths of similar right-angled triangles are 3 and 4 and x respectively, and x has two possibilities:

1)x = 5；

2)x=√7