Construct Triangle

Determine if it is possible to form a triangle with the given side lengths. 5 cm, 5 cm, 10 cm.

• yes

• no

Tags

CCSS.7.G.A.2

Determine if it is possible to form a triangle with the given side lengths. 15 in., 12 in., 2 in.

• yes

• no

Tags

CCSS.7.G.A.2

If a triangle has two side lengths of 2 cm and 6 cm, which of the following CANNOT be the measure of the third side?

• 6 cm

• 7 cm

• 5 cm

• 4 cm

In triangle ABC, the length of side AB is 10 cm and the length of side BC is 17 cm. Which of the following could be the length of side AC?

• 16 cm

• 5 cm

• 32 cm

• 29 cm

Construct ABC with AB = 3cm, BC= 4cm and AC= 5cm. Which of the following is a correct order of steps in constructing a triangle?

• Step 1: Draw a line AB, 3cm long.

  Step 2: Draw an arc of radius 4cm with B as the center.

  Step 3: Draw an arc of radius 5cm with A as the center to cut the arc drawn in Step 2 at C.

  Step 4: Join C, the point of intersection of the two arcs to the point A and B.

• Step 1: Draw a line AB, 3cm long.

  Step 2: Join C, the point of intersection of the two arcs to the point A and B.

  Step 3: Draw an arc of radius 5cm with A as the center to cut the arc drawn in Step 2 at C.

  Step 4: Draw an arc of radius 4cm with B as the center.

• Step 1: Draw an arc of radius 4cm with B as the center.

  Step 2: Join C, the point of intersection of the two arcs to the point A and B.

  Step 3: Draw an arc of radius 5cm with A as the center to cut the arc drawn in Step 2 at C.

  Step 4: Draw a line AB, 3cm long.18

• Step 1: Draw an arc of radius 4cm with B as the center.

  Step 2: Join C, the point of intersection of the two arcs to the point A and B.

  Step 3: Draw a line AB, 3cm long.

  Step 4: Draw an arc of radius 6cm with A as the center to cut the arc drawn in Step 2 at C.

Cliff wants to draw a triangle with a 30° angle and a 60° angle so that the side between them is 2 inches long. How many triangles can he draw?

• none

• one

• many

Tags

CCSS.7.G.A.2

Determine whether each set of angels could be measures of the angle of a triangle. Explain your answer. Is it possible to construct a triangle with angle measures of 25°, 75°, and 80°?

• (yes)

• (No)

Tags

CCSS.7.G.A.2

Determine whether each set of angels could be measures of the angle of a triangle. Explain your answer. Is it possible to construct a triangle with angle measures of 35°, 70°, and 90°?

• (yes)

• (No)

Tags

CCSS.7.G.A.2

Determine whether each set of angels could be measures of the angle of a triangle. Explain your answer. Is it possible to construct a triangle with angle measures of 45°, 60°, and 55° ?

• (yes)

• (No)

Tags

CCSS.7.G.A.2

Is it possible to construct a triangle with angle measures of 45°, 65°, and 70°?

How many triangles are possible, none, one, or many?

• none

• one

• many

Tags

CCSS.7.G.A.2