NC.7.G.2

The right triangle has an angle measure of 45°. What is the measure of the other angle in the triangle?

Mathematical Equivalence

ON

A triangle has two sides that measure 7 cm and 12 cm and an included angle of 75°. Which statement must be true about this triangle?

• The third side is more than 15 cm.

• The third side is between 5 cm and 19 cm.

• The third side is between 10 cm and 14 cm.

• One of the other two angles must be less than 40°.

If two sides of a triangle are 6 km and 14 km long, the third side of the triangle could measure _____.

• 7 km

• 8 km

• 19 km

• 20 km

Sarah is sketching a triangle. One side has a length of 8 units, and another side has a length of 13 units. What could be the length of the third side of the triangle?

• 3 units

• 5 units

• 19 units

• 21 units

In triangle PQR, segment QR measures 8 ft, segment PR measures 12 ft, and segment PQ measures 9 ft. Place the angles of the triangle in order from smallest angle to largest angle.​ ​

• Angle Q

• Angle P
• Angle R

Which set of measurements forms a unique triangle?

• A triangle with angle measurements of 25°, 55°, and 100°.

• A triangle with a 7 in side, a 14 in side, and an included 360° angle.

• A triangle with a 4 in side, a 9 in side, and an included 120° angle.

• A triangle with angle measurements of 35°, 45°, and 100°.

Sarah has 3 pieces of rope that measure 3 feet, 4 feet, and 5 feet. What type of triangle can Sarah create?

• no type of triangle

• a scalene triangle

• an equilateral triangle

• an obtuse triangle

One side of a triangle measures 15 meters. Another side of the same triangle measures 9 meters. Which inequalities represent all possible lengths of the third side, x?

• x > 6 and x < 24

• x ≥ 6 and x ≤ 24

• x > 9 and x < 15

• x ≥ 9 and x ≤ 15

Mrs. Smith gave her class three strips of paper to make triangles. David has strips that measure 4 inches, 9 inches, and 13 inches. How many triangles can David create with his 3 strips?

• infinitely many

• one

• two

• none

If two angles of a triangle are 45° and 45°, what kind of triangle is it?

• acute

• obtuse

• right