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AssignmentMultiple Choice

Centroid and Orthocenter

Question 1 • OC - LCISD - Geometry B

Which figure has an orthocenter outside the triangle?

Answer
A
[Image: A triangle has angle measures of 30, 75, and 75 de...]
B
[Image: A triangle has angle measures of 54, 56, and 74 de...]
C
[Image: A triangle has angle measures of 45, 110, and 25 d...]
D
[Image: A triangle has angle measures of 90, 48, and 42 de...]

Explanation

A triangle’s orthocenter lies outside the triangle when the triangle is obtuse. Figure C has an angle of 110°, which is greater than 90°, so it is obtuse. The other figures are acute or right triangles, so their orthocenters are not outside.

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