4.2 The Pythagorean Theorem Converse

Which of the following are right triangles?

• 3,4,5

• 15,20,25

• 15,18,21

• 13,84,85

Classify a triangle with sides: 1,2,3

• Right

• Obtuse

• Acute

Tags

CCSS.4.G.A.2

Classify a triangle with sides: 10,24,26

• Right

• Obtuse

• Acute

Tags

CCSS.4.G.A.2

Classify a triangle with sides: 5,6,8

• Right

• Obtuse

• Acute

Tags

CCSS.4.G.A.2

A park district is building a sandbox. They have marked the corners of the sandbox. The four sides formed are 10ft, 10ft, 24ft, and 24ft. The diagonal of the quadrilateral formed measured to be 27ft.

What type of triangle is formed by the diagonal and two sides of the current sandbox plant.

• Acute Triangle

• Right Triangle

• Obtuse Triangle

The lengths of the two shorter sides of a triangle are 8 and 15 units. If the triangle is a right triangle, what must the length of the third side be?

• 17 units

• 289 units

• 161 units

• 13 units

Tags

CCSS.8.G.B.8

In an obtuse triangle the longest side measures 12 units. If on of the other sides is 9 units long, which measurements are possible for the third side to keep it an obtuse triangle?

• 5 units

• 6 units

• 9 units

• 10 units

• 11 units