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We will be happy to post videos as per your requirements also. Do write to us.Geometric Mean of Similar Triangles : The altitude to the hypotenuse of a right triangle forms two triangles that are similar to each other and to the original triangle.
ΔABC ~ ΔBDC ~ ΔADB
|1) ∠ABC= 90||1) Given|
|2) BD ⊥ AC||2) Given|
|3) ∠BDC = ∠BDA = 900||3) By definition of perpendicular|
|4) ∠ABD + ∠DBC = 90||4) Since ∠ABC = 90|
|5) ∠C + ∠DBC + 90 = 180||5) Angle sum property|
|6) ∠C + ∠DBC = 90||6) By subtraction property|
|7) ∠C = ∠ABD||7) From (4) and (7)|
|8) ΔADB ~ Δ BDC|| 8) By AA postulate
( from 3 and 7)
|9) ∠ADB = ∠ABC||9) Each 900|
|10) ∠A = ∠A||10) Reflexive (common angle)|
|11) ΔADB ~ ΔABC|| 11) By AA postulate
(from 9 and 12)
|12) ∠C = ∠C||12) Reflexive (common angle )|
|13) ΔBDC ~ ΔABC|| 13) By AA postulate
( from 11 and 12)
|14) ΔADB ~ Δ BDC||14) from (3) and (7)|
Russia-Ukraine crisis update - 3rd Mar 2022
The UN General assembly voted at an emergency session to demand an immediate halt to Moscow's attack on Ukraine and withdrawal of Russian troops.