What is a 45-45-90 triangle?
Special Right Triangles Exit Ticket

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Mathematics
•
9th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
A 45-45-90 triangle is an isosceles right triangle where the angles are 45 degrees, 45 degrees, and 90 degrees. The lengths of the legs are equal, and the length of the hypotenuse is √2 times the length of a leg.
2.
FLASHCARD QUESTION
Front
What is the relationship between the sides of a 30-60-90 triangle?
Back
In a 30-60-90 triangle, the lengths of the sides are in the ratio 1:√3:2. The shortest side (opposite the 30-degree angle) is 'x', the longer leg (opposite the 60-degree angle) is 'x√3', and the hypotenuse is '2x'.
3.
FLASHCARD QUESTION
Front
How do you find the length of the hypotenuse in a 45-45-90 triangle?
Back
To find the length of the hypotenuse in a 45-45-90 triangle, multiply the length of one leg by √2.
4.
FLASHCARD QUESTION
Front
What is the formula for the area of a triangle?
Back
The area of a triangle is given by the formula: Area = 1/2 * base * height.
5.
FLASHCARD QUESTION
Front
If one leg of a 45-45-90 triangle is 4, what is the length of the hypotenuse?
Back
The hypotenuse is 4√2.
6.
FLASHCARD QUESTION
Front
In a 30-60-90 triangle, if the short leg is 5, what is the length of the long leg?
Back
The long leg is 5√3.
7.
FLASHCARD QUESTION
Front
What is the length of the hypotenuse in a 30-60-90 triangle if the short leg is 6?
Back
The hypotenuse is 12.
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