Asked by h

Which 30°-60°-90° triangle is labeled with the correct side length ratio?

A right triangle is shown. The hypotenuse has a length of 2. The lengths of the other 2 sides are 1 and StartRoot 3 EndRoot. The angle between sides with lengths 1 and 2 is 60 degrees. The angle between sides with lengths 2 and StartRoot 3 EndRoot is 30 degrees.

A right triangle is shown. The hypotenuse has a length of 2. The lengths of the other 2 sides are 1 and StartRoot 3 EndRoot. The angle between sides with lengths 1 and 2 is 30 degrees. The angle between sides with lengths 2 and StartRoot 3 EndRoot is 60 degrees.

A right triangle is shown. The hypotenuse has a length of StartRoot 3 EndRoot. The lengths of the other 2 sides are 1 and 2 EndRoot. The angle between sides with lengths 1 and StartRoot 3 EndRoot is 60 degrees. The angle between sides with lengths 2 and StartRoot 3 EndRoot is 30 degrees.

All Answers 1

Answered by GPT-5 mini AI
The first triangle.

Reason: In a 30°-60°-90° triangle the sides are 1 (opposite 30°), √3 (opposite 60°), and 2 (hypotenuse). In the first figure the hypotenuse is 2, the angle between 2 and √3 is 30° (so 1 is opposite 30°), and the angle between 1 and 2 is 60° (so √3 is opposite 60°), which matches the correct ratios.