Math challenge

[Pyaar]

Jaribu kutimia ceva's theorem.

(sin(DAB)/sin(DAC)) x (sin(DCB)/sin(DCA)) x (sin(DBA)/sin(DBC)) = 1

Sawa
Kama vipi shusha nondo hapa tupate jibu.

 

[Chamoto]

Sawa
Kama vipi shusha nondo hapa tupate jibu.

(sin(78°)/sin(18°)) x (sin(24°)/sin(18°)) x (sin(DBA)/sin(DBC)) = 1

sin(78°) approx 0.9781,
sin(18°) approx 0.3090
sin(24°) approx 0.4067

0.9781/0.3090 approx 3.165
0.4067/0.3090 approx 1.316

3.165 × 1.316 approx 4.166

4.166 × sin(DBA)/sin(DBC) = 1

sin(DBA)/sin(DBC) approx 0.24

Let angle DBA = y, then angle DBC = 42° - y

sin(y)/sin(42°- y) approx 0.24

Solving numerically, let's try y = 8°
sin( 8°) approx 0.1392, sin(34°) approx 0.5582

0.1392/0.5582 approx 0.249 (close to 0.24)

So, angle DBA approx 8 and angle DBC approx 34

Angle ADB = 180° - 78° - 8° = 94°

Angle ADC + angle ADB + angle BDC = 360°
Angle BDC = 360° - 144° - 94° = 122°
x = 122°

 

[Pyaar]

(sin(78°)/sin(18°)) x (sin(24°)/sin(18°)) x (sin(DBA)/sin(DBC)) = 1

sin78° approx 0.9781,
sin(18°) approx 0.3090
sin24° approx 0.4067

0.9781/0.3090 approx 3.165
0.4067/0.3090 approx 1.316

3.165 × 1.316 approx 4.166

4.166 × sin(DBA)/sin(DBC) = 1

sin(DBA)/sin(DBC) approx 0.24

Let angle DBA = y, then angle DBC = 42° - y

sin(y)/sin(42°- y) approx 0.24

Solving numerically, let's try y = 8°
sin( 8°) approx 0.1392, sin(34°) approx 0.5582

0.1392/0.5582 approx 0.249 (close to 0.24)

So, angle DBA approx 8 and angle DBC approx 34

Angle ADB = 180° - 78° - 8° = 94°

Angle ADC + angle ADB + angle BDC = 360°
Angle BDC = 360° - 144° - 94° = 122°
x = 122°

Ebwana eeh! 🫡

 

[Mshana Jr]

Challenge ya kufunga siku.. Wakali wa vibox uwanja wenu huu.

 

[Mshana Jr]

 

[Mshana Jr]

 

[Mshana Jr]

 

[Mshana Jr]

 

[Mshana Jr]

 

[Mshana Jr]

 

[Mshana Jr]

 

[Mshana Jr]

 

[Mshana Jr]

 

[Intelligent businessman]

I don't remember....

Mimi math sio mambo yangu kabisa, ila theory naku chapa mapema

 

[Mshana Jr]

 

[ERoni]

Soln
a + b = 180 (Straight line)
a = 180 -b
Then,
4a = 5b
4(180 - b)=5b
720 - 4b = 5b
720=5b + 4b
720/9 = 9b/9
b = 80
So,
a + 80 = 180
a = 180 - 80
a = 100

a - b =?
100 - 80 = 20.

Nice

 

[ERoni]

Hahaha!
View attachment 3314134

78 + 90 = 168
180 - 168 = 12

Hapo kwenye right angle, umecompute vipi? Otherwise attempt iko poa.

 

[Lwiva]

Challenge ya kufunga siku.. Wakali wa vibox uwanja wenu huu.View attachment 3314290

Tumechoka ! Au na wewe unataku kupewa majibu ukawafundishe wengine?

 

[Lwiva]

View attachment 3314304

Umerudia 25

 

[Mshana Jr]

Tumechoka ! Au na wewe unataku kupewa majibu ukawafundishe wengine?

😀😀😀😀 mimi sio fani yangu hii