45-45-90 Triangles (regular)

Flashcard
•
Mathematics
•
9th - 12th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a 45-45-90 triangle?
Back
A 45-45-90 triangle is an isosceles right triangle where the angles are 45 degrees, 45 degrees, and 90 degrees.
2.
FLASHCARD QUESTION
Front
What is the relationship between the legs and the hypotenuse in a 45-45-90 triangle?
Back
In a 45-45-90 triangle, the lengths of the legs are equal, and the hypotenuse is √2 times the length of each leg.
3.
FLASHCARD QUESTION
Front
If each leg of a 45-45-90 triangle is 5 units, what is the length of the hypotenuse?
Back
The hypotenuse is 5√2 units.
4.
FLASHCARD QUESTION
Front
How do you find the length of a leg in a 45-45-90 triangle if the hypotenuse is known?
Back
To find the length of a leg, divide the length of the hypotenuse by √2.
5.
FLASHCARD QUESTION
Front
What is the length of the legs if the hypotenuse is 9√2?
Back
The length of each leg is 9 units.
6.
FLASHCARD QUESTION
Front
In a 45-45-90 triangle, if one leg is 8 units, what is the length of the hypotenuse?
Back
The hypotenuse is 8√2 units.
7.
FLASHCARD QUESTION
Front
What is the formula to calculate the hypotenuse in a 45-45-90 triangle?
Back
Hypotenuse = leg × √2.
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