two right triangles are similar if an acute angle of one triangle is congruent to an acute angle of the other triangle. a. true
b. false
2 answers:
Answer: True
One angle of a right triangle = 90°
Let x = the acute angle of one angle.
Let y = the angle of the other angle.
Because the sum of angles in a triangle is 180°,
x + y + 90 = 180
x + y = 90
y = 90 - x
Therefore the angles for each of the two triangles are
x, 90° - x, 90°.
The two triangles are therefore similar because of AAA (Angle, Angle, Angle).
Answer:
True
Step-by-step explanation:
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