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
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