ABC est un triangle rectangle en A tel que: AB = 3 cm et AC = 4 cm. 1) Calculer BC.

I est le milieu de [AC). La parallèle menée de 1 à (AB) coupe (BC) en J.

2) Calculer IJ.

3) a) Calculer AJ.

b) En-déduire la nature du triangle ABJ.

K est le milieu de [AB].

4) Montrer que (KJ) est parallèle à (AC).

5) Quelle est la nature du quadrilatère AKJC ? Justifier.​

geometry: triangles

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call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

25.45584

its an acute right triangle

step-by-step explanation: