ISEE Upper Level Quantitative Reasoning › How to find if right triangles are similar
is a right angle;
,
.
Which is the greater quantity?
(a)
(b)
(a) and (b) are equal.
(a) is greater.
(b) is greater.
It is impossible to tell from the information given.
. 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,
.