Pythagorean Theorem Special Right Triangles and Trigonometry

Find the value of x.

• 17.9 km

• 13.9 km

• 24 km

• Dang! I wish I had been paying attention in class.

What kind of triangle do the three side lengths form?

• Obtuse

• Acute

• Right

• They don't form a triangle.

Find the missing side length.

• 2√4

• 2√2

• 4

• I don't know. These problems make me want to scream.

Find the missing side length.

• 2√3

• 2.6

• 1.5√3

• 6

Find the value of each trigometric ratio.

• .6

• .8

• .75

• 21/28

Find the measure of the indicated angle to the nearest degree.

• 35.4°

• 54.6°

• 45.3°

• 44.7°

Find the missing side. Round to the nearest tenth.

• 1.9

• 18.5

• 38.7

• 19.4

Which statement about right triangles is not true?

• You can use the Pythagorean Theorem when given only 1 side length and 1 angle.

• You can use the Special Right Triangle formulas when given 1 side and 1 angle other than the right angle.

• You can use trigonometry to find a missing side OR a missing angle.

• You can use the Pythagorean Theorem when given 2 sides of a triangle.

A wooden beam 24 feet long leans against a wall and makes an angle of 71° with the ground. How high up the wall does the beam reach to the nearest foot?

• 69.7 feet

• 22.7 feet

• 7.81 feet

• I have no idea. I don't pay attention in class.

Solve for a and b in the special right triangle.

• a = 5, b = 5

• a = 10, b = 10√2

• a = 10√2, b = 10√2

• a = 5√2, b = 5√2