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Working Task #1: SPECIAL RIGHT TRIANGLE THEOREM
Quiz by Level up+
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45°–45°–90° Triangle Theorem (Concept Slide)
Question 1 — Multiple Choice
In a 45°–45°–90° triangle, if one leg has a length of x, what is the length of the hypotenuse?
A. x
B. 2x
C. x√2
D. √2
C
A
D
B
45°–45°–90° Triangle Theorem (Concept Slide)
Question 1 — Multiple Choice
In a 45°–45°–90° triangle, if one leg has a length of x, what is the length of the hypotenuse?
A. x
B. 2x
C. x√2
D. √2
Question 3 — Multiple Choice
A 45°–45°–90° triangle has a leg measuring 10 units. What is the length of the hypotenuse?
Question 4 — True or False
If the leg of a 45°–45°–90° triangle is 8√2, then the hypotenuse is 16.
Question 5 — Type an Answer
The hypotenuse of a 45°–45°–90° triangle is 5√2.Find the length of one leg.
Question 6 — Multiple Choice
To find the leg of a 45°–45°–90° triangle when the hypotenuse is known, you should:
Question 7 — Checkbox (Select ALL that are correct)
In a 30°–60°–90° triangle:
☐ The hypotenuse is twice the shorter leg
☐ The longer leg is √3 times the shorter leg
☐ The shorter leg is the longest side
☐ The hypotenuse is √3 times the longer leg
Question 8 — Type an Answer
In a 30°–60°–90° triangle, the shorter leg is 4.Find the longer leg.
Advanced Combination (45°–45°–90° + 30°–60°–90°)
Question 11 — Type an Answer
A triangle combines a 45°–45°–90° and a 30°–60°–90° relationship.If the longer leg of the 30°–60°–90° triangle is 7√6, find x.
Question 12 — True or False
Special right triangles allow us to solve for missing sides without using the Pythagorean Theorem.
☐ True
☐ False
