Question

Which segment is an altitude of triangle IGH? (See attachment)

Answer 1

Answer: segment KH

Explanation:

The altitude of a triangle is defined as a segment connecting one of the vertex of the triangle with the opposite side of the triangle (or with an external prolongation of it), forming a right angle with it.

Note that the altitude of a triangle can also be outside the area of the triangle.

If we look at the picture, we see that:

- IH is a side, so it is not an altitude of the triangle

- KH is an altitude of the triangle, since it connects the vertex H with the external prolongation of IG, and it makes a right angle with it

- GJ: we don't know if it is an altitude, since we don't know if it forms a right angle or not

- GH: it is a side of the triangle, so it is not an altitude

So, the correct answer is segment KH.

Answer 2

Answer:

Option (b) is correct.

Segment KH is an altitude of triangle IGH.

Step-by-step explanation:

Given: A diagram showing triangle IGH

We have to find the segment which is an alitude of triangle IGH

Consider the given triangle IGH

Since, triangle IGH is an obtuse angled triangle.

So, For an obtuse triangle, altitude lies outside the triangle.

Thus, For the given triangle IGH, HK forms the altitude of the triangle.

Thus, Segment KH is an altitude of triangle IGH.