# 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

QUESTION POSTED AT 16/04/2020 - 06:02 PM

QUESTION POSTED AT 16/04/2020 - 06:02 PM

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).

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).

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