Means in Triangles

Tags

CCSS.HSG.CO.B.7

Compare RT and VX

• RT=VX

• RT<VX

• RT>VX

Tags

CCSS.HSG.CO.B.7

Tags

CCSS.HSG.CO.B.7

Definition of Hinge Theorem

• If two triangles have two sides congruent to each other, but one of the included angles is wider, that means that the third side of that triangle is longer.

• If two triangles have two sides congruent to each other, but one of the third side is longer, that means that the included angle of that triangle is wider.

• If two triangles have one side congruent to each other, then that means the each triangle is congruent to one another.

• Each triangle is congruent, if they have 3 measured same side lengths.

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

Tags

CCSS.8.G.A.5

Tags

CCSS.HSG.CO.C.10

Only Write the Symbol: AD___CD

Tags

CCSS.HSG.CO.C.9

Are the triangles similar?

• Yes

• No

Tags

CCSS.HSG.SRT.A.2

Tell whether the triangles are similar. Explain.

• Yes because it looks like it

• Yes because 81 + 48 + 51 = 180

• No because 81 + 48 + 51 =/= 180

• Def not

Tags

CCSS.HSG.SRT.A.2