Current location - Training Enrollment Network - Mathematics courses - Detailed explanation of 09 Hangzhou senior high school entrance examination mathematics examination paper No.7
Detailed explanation of 09 Hangzhou senior high school entrance examination mathematics examination paper No.7
7.

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