Question

If triangle DEF has a 90° angle at vertex E, which statements are true? Check all that apply.



Triangle DEF is an obtuse triangle.


The angle at vertex D is acute.


The angle at vertex F is obtuse.


Triangle DEF is a right triangle.


The angle at vertex D is obtuse.

Answer 1

Listed below are those that are true:

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

We know D is acute, because a triangle has 180 internal degrees, and E is 90 degrees, so D has to be less than 90 which makes it acute.
Also, since E is 90 degrees, the triangle is a right triangle.

Answer 2

The true statements about the triangle DEF are:

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

What is deduced from the triangle DEF?

We observed that D is acute because the triangle has 180 degrees and the E is 90 degrees.

Hence, the D has to be less than 90 which makes it acute, also, because the E is 90 degrees, the triangle is a right triangle.

Therefore, the Option B & D is correct.

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