Triangle Sides Inequality
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
Arrange its sides in ascending order.
OG, GM, OM
OM, GM, OG
OG, OM, GM
GM, OG, OM
Tags
CCSS.HSG.CO.C.10
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Arrange its sides in descending order.
FA, FT, AT
FT, AT, FA
FT, FA, AT
AT, FA, FT
Tags
CCSS.HSG.CO.C.10
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
AC ___ CE
>
<
=
I don't know.
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
BC ___ DC
>
<
=
I don't know.
Tags
CCSS.HSG.CO.C.10
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
AB ___ DE
>
<
=
I don't know.
Tags
CCSS.HSG.CO.C.10
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
m∠T _____ m∠U
<
>
=
I don't know.
Tags
CCSS.HSG.SRT.D.10
CCSS.HSG.SRT.D.11
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