if triangle def has a 90° angle at vertex e, which statements are true? select two options.\n□ triangle def…

if triangle def has a 90° angle at vertex e, which statements are true? select two options.\n□ triangle def is an obtuse triangle.\n□ the angle at vertex d is acute.\n□ the angle at vertex f is obtuse.\n□ triangle def is a right triangle.\n□ the angle at vertex d is obtuse.

if triangle def has a 90° angle at vertex e, which statements are true? select two options.\n□ triangle def is an obtuse triangle.\n□ the angle at vertex d is acute.\n□ the angle at vertex f is obtuse.\n□ triangle def is a right triangle.\n□ the angle at vertex d is obtuse.

Answer

Explanation:

Step1: Recall triangle - type definitions

A right - triangle has one angle equal to 90°. An obtuse - triangle has one angle greater than 90°. An acute angle is an angle less than 90°.

Step2: Analyze triangle DEF

Since ∠E = 90°, triangle DEF is a right - triangle. Also, in a triangle, the sum of the interior angles is 180°. So, ∠D+∠F = 180° - ∠E=180° - 90° = 90°. This means that both ∠D and ∠F are acute angles.

Answer:

B. The angle at vertex D is acute. D. Triangle DEF is a right triangle.