Applying Pythagorean Theorem and Distance Formula

Quiz
•
Mathematics
•
8th Grade
•
Hard
Standards-aligned
Anthony Clark
FREE Resource
15 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
The diagonal of a rectangle is 27 meters long. If the angle between the diagonal and the long side is 25 degrees, what is the length of the shortest sides?
13.4 meters
24.5 meters
11.4 meters
10.7 meters
Tags
CCSS.8.G.B.8
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
AB = 3
BC = 3
AB = 6
BC = 6
Tags
CCSS.HSG.SRT.C.8
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
I have been given a hypotenuse in this 45-45-90 triangle. How do I find the length of a leg of the triangle?
Multiply by √2
Divide by √2
It's the same length as the hypotenuse.
Divide by 2
Tags
CCSS.8.G.B.8
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Is a triangle with side lengths 117, 45, and 108 a right triangle?
yes
no
Tags
CCSS.8.G.B.8
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
A 13 ft. ladder is leaning against the house. The top of the ladder touches the house at 10 feet above the ground. How far away is the bottom of the ladder from the house? (Help me Pythagoras!)
10 feet
7.5 feet
8.3 feet
3.8 feet
Tags
CCSS.8.G.B.8
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Find y.
11√2
11
22
(11√2)/2
Tags
CCSS.8.G.B.7
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
The main mast of a fishing boat is supported by a sturdy rope that extends from the top of the mast to the deck. If the mast is 20 feet tall and the rope attached to the deck 10 feet away from the base of the mast, how long is the rope? Round your answer to the nearest thousandth.
17.323 ft.
22.361 ft.
25.241 ft.
30.327 ft.
Tags
CCSS.8.G.B.8
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