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Example Questions
Example Question #51 : Geometry
is a right angle; , .
Which is the greater quantity?
(a)
(b)
Possible Answers:
(a) and (b) are equal.
(b) is greater.
(a) is greater.
It is impossible to tell from the information given.
Correct answer:
(a) and (b) are equal.
Explanation:
. Corresponding angles of similar triangles are congruent, so since is a right angle, so is .
The hypotenuse of is twice as long as leg ; by the Theorem, . Again, by similiarity,
.
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