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I assume that we are talking about a "right angled triangle". Guessing the angled bit gets missed in US English.

It means that the Triangle contains a right angle which is to say one of 90 degrees.

A square corner in other words. As to why a right angle is so called wikipedia says:

The term is a calque of Latin angulus rectus; here rectus means "upright", referring to the vertical perpendicular to a horizontal base line.

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Q: What does right in right triangle MEAN?
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