Answer
No.
Work Step by Step
Some triangles (such as obtuse triangles) have altitudes that lie outside the triangle, itself. See attached image.
![](https://gradesaver.s3.amazonaws.com/uploads/solution/2b9fbce3-2db7-47cf-b0a5-b684242553a5/steps_image/small_1522037596.jpg?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAJVAXHCSURVZEX5QQ%2F20240908%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240908T002019Z&X-Amz-Expires=900&X-Amz-SignedHeaders=host&X-Amz-Signature=edd8de8bc463374f7f60d53a67e75602e922e92dbaf6f4c03d48d62de2e84bc7)
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