Geometry Triangle Inequalities
Authored by Anthony Clark
Mathematics
10th Grade
CCSS covered
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20 questions
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1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Find the largest side in Δ BCD
Segment BC
Segment DB
Segment DC
Segment AB
Tags
CCSS.HSG.CO.C.10
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
<
>
=
Tags
CCSS.HSG.CO.C.10
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
>
<
=
Tags
CCSS.HSG.CO.B.7
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Two sides of a triangle have side lengths of 17 meters and 12 meters. What is the range of possible lengths for the third side?
12 < x < 17
12 < x < 29
5 < x < 17
5 < x < 29
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
In a triangle △PQR, PT bisects ∠QPR. Prove that PQ is greater than QT. Click on 'Yes' when it is completed.
Yes
No
Answer explanation
Since PT bisects ∠QPR, we have, ∠QPT = ∠TPR .......(1) Also, in △PTR, ∠PTQ > ∠TPR.... [As an exterior angle of a triangle is always greater than either of the interior opposite angles] Therefore, ∠PTQ > ∠QPT.....(from (1)) Since in a triangle, the greater angle has the greater side opposite to it, ∴ PQ > QT Hence, proved.
Tags
CCSS.HSG.CO.C.9
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Which is the range of values of "x" for the triangle shown?
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Which is the range of values of "x" for the triangle shown?
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