Geometry - Third Nine Weeks Make-up Assignment

Orion catches a fish 16 ft downstream on the opposite side of a river using a 34 ft-long line. How wide is the river?

• The river is 38 ft wide

• The river is 30 ft wide

• The river is 18 ft wide

Daphne is trapped in a 48 foot-high castle, surrounded by a 20 foot wide moat. Her rescuer needs a ladder to place at the edge of the moat that will reach the top of the castle. How long a ladder is needed?

• The rescuer needs a 52 foot ladder

• The rescuer needs a 28 foot ladder

• The rescuer needs a 44 foot ladder

Use the converse of pythagorean theorem to determine if the sides given form an acute, obtuse, or right triangle.

a = 3

b = 4

c = 7

• Right Triangle

• Acute Triangle

• Obtuse Triangle

Use the triangle inequality theorem to determine if the sides given form an acute, obtuse, or right triangle.

a = 12

b = 16

c = 20

• Right Triangle

• Acute Triangle

• Obtuse Triangle

Use the triangle inequality theorem to determine if the sides given form an acute, obtuse, or right triangle.

a = 5

b = 6

c = 10

• Right Triangle

• Acute Triangle

• Obtuse Triangle

Brandy takes different measurements of her door. The height is 80 inches, and the base is 36 inches. What is the diagonal height of her door?

• The diagonal height of the door is approximately 116 inches

• The diagonal height of the door is approximately 71.44 inches

• The diagonal height is approximately 87.73 inches

Find the value of x in the right triangle.

• x = 2

• x = 4

Find the value of x in the right triangle.

• x = 3

• x = 6

Find the value of x in the right triangle.

• x = 20

• x = 10

Find the value of a and b in the right triangle.

• a = 4, b = 8