Triangle theorems

• Wiskunde
• Middelbare school
• vwo
• Leerjaar 2

Bach theorem

Altitude theorem

Sketch triangle ABC with:

∠B=90

AB=9cm

BC=40cm

Calculate AC in the triangle sketched in previous question.

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.

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

Calculate BE, round to 1 decimal

The altitude theorem

If the altitude (height) h of an 

right-angled triangle splits the 

hypothenuse in parts p and q,

then:

h​2​​=pq

Lets proof this one together

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

THE END