Side Lengths of Triangles
Authored by Barbara White
Mathematics
10th Grade
CCSS covered
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10 questions
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1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Fiona's school is in the shape of a triangle, with three hallways connecting the corners. Fiona enters the building and walks 90 yards through the first hallway to the first corner. Then, she walks 60 yards through the second hallway to the second corner.
What are the possible lengths of the third hallway?
between 30 yards and 60 yards
between 30 yards and 90 yards
between 30 yards and 120 yards
between 30 yards and 150
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A triangle has side lengths measuring 3x cm, 7x cm, and h cm. Which expression describes the possible values of h, in cm?
4x < h < 10x
10x < h < 4x
h = 4x
h = 10x
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
The isosceles triangle has a base that measures 14 units.
The value of y, the length of each leg, must
equal to 7.
between 7 and 14.
greater than 7
between 14 and 28.
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
The value of x must be greater than ________.
0
1
3
7
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which inequality explains why these three segments cannot be used to construct a triangle?
EF + FD > DE
ED + EF < DF
ED + EF > DF
EF + FD < DE
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Iliana claims that she can construct a triangle from a 12-inch rod, a 36-inch rod, and a 39.4-inch rod. Which statement explains whether she is correct?
Iliana cannot construct a triangle because the sum of the two smaller sides will not be greater than the third side.
Iliana cannot construct a triangle because the sum of the two smaller sides will be greater than the third side.
Iliana will be able to construct a triangle because the sum of any two sides is greater than the third side.
Iliana will be able to construct a triangle because the sum of any two sides is less than the third side.
7.
MULTIPLE SELECT QUESTION
2 mins • 1 pt
Which statements about the diagram are true? Select three options.
DE = EF > DF
Triangle DEF is an isosceles triangle
5 < DF < 13
DE + DF < EF
Triangle DEF is a scalene triangle
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