Is the straight line in the figure the height of the triangle?
We have hundreds of course questions with personalized recommendations + Account 100% premium
Is the straight line in the figure the height of the triangle?
The height of a triangle is defined as the perpendicular distance from a vertex to the line containing the opposite side (base). In this problem, we observe a vertical line segment drawn from a point on the base (horizontal line at the bottom of the triangle) to some level above the base. To determine if this line is a height, it must be perpendicular to the base and also reach to the opposite vertex of the triangle.
In the provided figure, the vertical line extends vertically from the base but does not connect to the opposite vertex of the triangle (at the top). Instead, it terminates at some intermediate point above the base. Since the line does not satisfy the full condition of being perpendicular and reaching an opposite vertex, it cannot be considered the height of this triangle.
Therefore, the given straight line is not the height of the triangle.
The correct and final answer is: No.
No
Fill in the blanks:
In an isosceles triangle, the angle between two ___ is called the "___ angle".
Get unlimited access to all 18 Triangle questions, detailed video solutions, and personalized progress tracking.
Unlimited Video Solutions
Step-by-step explanations for every problem
Progress Analytics
Track your mastery across all topics
Ad-Free Learning
Focus on math without distractions
No credit card required ⢠Cancel anytime