Where do the lines AB and CD and BC intersect?

Where do the lines AB and CD and BC intersect?

The lines AB and CD intersect at E, and the lines BC and DA intersect at F . Now we have two new angles: E (this is the angle ∠AED) and F (this is the angle ∠BF A). We also consider a point R of intersection of the external bisectors of these angles.

What is the formula for the exterior angle of δabd?

AD = AC So, ∠ ACD = ∠ ADC Now, ∠ ADC is an exterior angle for ΔABD. ∠ ADC = ∠ ABD + ∠ BAD So, ∠ ADC > ∠ ABD ∠ ACD > ∠ ABD AB > AC (टीचू) Maths Science GST Accounts Tax Englishtan English Speaking Grammar Resume Help Email help Vocabulary GST GST New Return Forms – Sahaj Sugam

What is the area of de and Bf?

Since DE is common to both ADE and DEF, and both have “height” h, they must have equal area. They both have the same base and the same “height”, so 1/2*base*height is equal for both. Therefore DEF also has an area of 4. The red-herring is the length of BF, since as explained, the answer would be 4 whatever the length of BF.

What is the balancing point of BC and BA?

In order to have D as the balancing point of BC we assign a mass of 2 to B and a mass of 5 to C. Now on side BA to have E as the balancing point we assign 2 · 3/4 = 3/2 to A.

What is the ABCD 2 score used for?

Estimates the risk of stroke after a suspected transient ischemic attack (TIA). The ABCD 2 score can help physicians risk stratify stroke in patients presenting with a TIA. The ABCD 2 score was developed to help physicians risk stratify patients presenting with a TIA for how likely they are to suffer a subsequent stroke.

What is the traversal of the parallelogram ABCD?

Proof: In parallelogram ABCD , opposite angles are equal, Hence, ∠A = ∠C Also, In parallelogram ABCD opposite sides are parallel, AD ∥ BC Now since AE is AD extended, AE ∥ BC and BE is the traversal ∴ ∠ AEB = ∠ CBF Now in Δ ABE & Δ CFB ∠A = ∠C ∠ AEB = ∠ CBF ∴ Δ ABE ∼ Δ CFB Hence proved

How do you prove that circum circle of ILK is tangent to ABC?

Incircle of triangle ABC touches AB, AC at P, Q. BI, CI intersect with P Q at K, L. Prove that circumcircle of ILK is tangent to incircle of ABC if and only if AB + AC = 3BC. 2 f 11. Let M and N be two points inside triangle ABC such that ∠M AB = ∠N AC and ∠M BA = ∠N BC. Prove that AM · AN BM · BN CM · CN + + = 1.