Question

What statements are true about the orthocenter of triangle JKL? Check all that apply.

The orthocenter is where the medians of the triangle intersect.
The orthocenter is where the altitudes of the triangle intersect.
The orthocenter will lie on triangle JKL.
Without constructing the orthocenter, it is impossible to know if it will be on, in, or outside the triangle.
To find the orthocenter, determine the midpoints of the triangle sides.

Answer 1

The correct answer is 2 and 3

Explanation:

Answer 2

• The orthocenter is where the altitudes of the triangle intersect.
• The orthocenter will lie on triangle JKL

Explanation:

The orthocenter is where the altitudes meet. Each altitude is orthogonal to the base to which it is drawn, so the prefix ortho- is appropriate for describing their point of intersection.

For a right triangle, the orthocenter is the vertex of the right angle, so lies on the triangle.