
Altitude to Hypotenuse
Flashcard
•
Mathematics
•
10th Grade
•
Practice Problem
•
Hard
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1.
FLASHCARD QUESTION
Front
What is the altitude to the hypotenuse in a right triangle?
Back
The altitude to the hypotenuse is a perpendicular segment from the right angle vertex to the hypotenuse, creating two smaller right triangles.
2.
FLASHCARD QUESTION
Front
How do you calculate the area of a triangle using the altitude to the hypotenuse?
Back
Area = 1/2 * base * height, where the base is the hypotenuse and the height is the altitude.
3.
FLASHCARD QUESTION
Front
What is the relationship between the altitude to the hypotenuse and the segments it creates?
Back
The altitude divides the hypotenuse into two segments, and the relationship can be expressed as: (altitude)^2 = (segment1) * (segment2).
4.
FLASHCARD QUESTION
Front
If the hypotenuse is 20 and the altitude is 8, what is the area of the triangle?
Back
Area = 1/2 * 20 * 8 = 80 square units.
5.
FLASHCARD QUESTION
Front
What is the formula for finding the length of the altitude to the hypotenuse?
Back
Altitude = (leg1 * leg2) / hypotenuse.
6.
FLASHCARD QUESTION
Front
In a right triangle, if one leg is 6 and the other leg is 8, what is the length of the hypotenuse?
Back
Hypotenuse = √(6^2 + 8^2) = √(36 + 64) = √100 = 10.
7.
FLASHCARD QUESTION
Front
What is the significance of the altitude in triangle similarity?
Back
The altitude to the hypotenuse creates two smaller triangles that are similar to the original triangle and to each other.
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