Constructing Triangles Warmup

4) Matt constructs a triangle with angles measuring 62° and 35°.  What must be       true of the measure of the third angle in his construction? 

• It must measure exactly 83°. 

• It must measure exactly 93°. 

• It can have any measure less than 103°.

• It can have any measure greater

        than 27°. 

Find the missing angle in each triangle.  Then, classify each triangle by sides and by angles.

x =​ (a)  

 

sides:  ​ (b)  

 

angles:  ​ (c)  

• 27
• Scalene
• Right
• Acute
• Obtuse
• 90
• 63
• 45
• Equalateral
• isosceles

Find the missing angle in each triangle.  Then, classify each triangle by sides and by angles.

x =​ ​ ​ (a)  

 

sides:  ​ ​ (b)  

 

angles:  ​ ​ ​ (c)  

• 35
• isosceles
• Obtuse
• 90
• 63
• 45
• Equalateral
• right
• acute

Find the missing angle in each triangle.  Then, classify each triangle by sides and by angles.

x =​ ​ (a)  

 

sides:  ​ (b)  

 

angles:  ​ ​ (c)  

• 65
• Scalene
• Acute
• Obtuse
• 90
• 63
• 45
• Equalateral
• isosceles

The Triangle Inequality Theorem states that any side of a triangle must be ________________ the sum of the lengths of the other two sides of a triangle.

• greater than

• less than

• equal to

Can the following 3 side lengths form a triangle?

15, 12, 9

• Yes

• No

Can the following 3 side lengths form a triangle?

20, 10, 9

• Yes

• No