The Pythagorean Theorem

Ontario 09 Applied (MFM1P)

Converse of Pythagorean Theorem

Consider a triangle whose shortest sides have lengths $6$6 and $8$8. The longest side of the triangle has a length of $c$`c`.

a

What must the value of $c$`c` be if the triangle has a right angle?

b

If $c=12$`c`=12, then which of the following correctly describes the triangle?

Right angled

A

Obtuse

B

Acute

C

Right angled

A

Obtuse

B

Acute

C

c

If $c=9$`c`=9, then which of the following correctly describes the triangle?

Acute

A

Obtuse

B

Right angled

C

Acute

A

Obtuse

B

Right angled

C

Easy

Approx a minute

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Solve problems using the Pythagorean theorem, as required in applications (e.g., calculate the height of a cone, given the radius and the slant height, in order to determine the volume of the cone)