 Converse of Pythagorean Theorem

Interactive practice questions

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

Consider three straight lines with lengths $8$8, $6$6 and $19$19 units.

Consider three straight lines with lengths $9$9, $12$12 and $14$14 units.

Consider three straight lines with lengths $8$8, $6$6 and $12$12 units.

Outcomes

9P.MG2.02

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)