Triangle theorems

Bach theorem
Altitude theorem
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Bach theorem
Altitude theorem

Slide 1 - Diapositive

Sketch triangle ABC with:
B=90
AB=9cm
BC=40cm

Slide 2 - Question ouverte

Calculate AC in the triangle sketched in previous question.

Slide 3 - Question ouverte

The area theorem
In a right-angled triangle, the product
of the 2 right-angled legs is equal to 
the product of the hypothenuse and
its matching heigth.

Slide 4 - Diapositive

Draw 2 different right-angled triangles and draw in al these triangles the matching height to the hypothenuse

Slide 5 - Question ouverte

Slide 6 - Diapositive


Calculate BE, round to 1 decimal

Slide 7 - Question ouverte

The altitude theorem
If the altitude (height) h of an 
right-angled triangle splits the 
hypothenuse in parts p and q,
then:

h2=pq

Slide 8 - Diapositive

Lets proof this one together

Slide 9 - Diapositive

Thales' Theorem
If A, B and C are on the circle 
and AB is the diameter, 
then triangle ABC is a 
right-angled triangle with 
C=90

Slide 10 - Diapositive

THE END 

Slide 11 - Diapositive