Triangle Sides Inequality

Arrange its sides in ascending order.

• OG, GM, OM

• OM, GM, OG

• OG, OM, GM

• GM, OG, OM

Tags

CCSS.HSG.CO.C.10

Arrange its sides in descending order.

• FA, FT, AT

• FT, AT, FA

• FT, FA, AT

• AT, FA, FT

Tags

CCSS.HSG.CO.C.10

AC ___ CE

• >

• <

• =

• I don't know.

BC ___ DC

• >

• <

• =

• I don't know.

Tags

CCSS.HSG.CO.C.10

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

AB ___ DE

• >

• <

• =

• I don't know.

Tags

CCSS.HSG.CO.C.10

m∠T _____ m∠U

• <

• >

• =

• I don't know.

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

m∠KAU _____ m∠OAT

• <

• >

• =

• I don't know.

Tags

CCSS.HSG.CO.C.10

Arrange the angles of the triangle in ascending order.

• ∠W, ∠U, ∠V

• ∠V, ∠U, ∠W

• ∠U, ∠W, ∠V

• ∠U, ∠V, ∠W

Tags

CCSS.HSG.CO.C.10

Given: ∆CAT, CA=7cm, CT=24cm and AT=25cm

Arrange the angles of the triangle in ascending order.

• ∠T, ∠A, ∠C

• ∠T, ∠C, ∠A

• ∠C, ∠T, ∠A

• ∠C, ∠A, ∠T

Tags

CCSS.HSG.CO.C.10