area right triangle | square | pythagorean theorem | geometry problems | Masterclass Geometry
Vložit
- čas přidán 22. 05. 2024
- Welcome to Masterclass Geometry !!!
Geometry problems from all over the world.
math olympiad geometry | high school geometry | geometry | geometry problems | high school geometry problems | geometry olympiad | geometry olympiad preparation | math olympiad | math olympiad problems | math olympiad problems | premath | andy math | math booster | math geometry problems | pythagorean theorem | square area | area square | pythagorean theorem example | right triangle | right triangle pythagorean theorem | mathematrick | relish math | indian math olympiad | uk junior math olympiad | geometry tutor | high school math | 6th grade
#geometry #geometryproblems
Tanks for watching this video
S=4
The lower green triangle spins 180 degrees to fit in the space left by the other green area, filling a 2x2 square, area = 4. Took longer to type it than see it.
El trapecio verde superior podemos girarlo 180º en torno al punto medio de la frontera Blanco\Verde y llenará la zona blanca del cuadrado inferior derecho de la figura→ Área verde =2*2=4 ud².
Gracias y un saludo cordial.
Green area=(2)(2)-1/2(2)(3/2)+1/2(2)(3/2)=4 square units.❤
My way of solution is ▶
for the small white triangle in the upper square: ΔABC
the large triangle that is located in the two squares (upper and lower): ΔADE
ΔABC ~ ΔADE
BC/DE= AB/AD
BC= 1+x
DE= 1+2
AB= 2
AD= 2+2= 4
⇒
(1+x)/(1+2)= 2/(2+2)
(1+x)/3= 2/4
4x= 2
x= 2/4
x= 1/2 length units
Agreen= (2+1/2)*2/2 + (1+1/2)*2/2
Agreen= 5/2 + 3/2
Agreen= 4 square units
That's quite a long way to do it.