trig functions & phythagorean theorem by Ashli kirkland

What are the main trig functions

Answer explanation

sine, cosine, tangent, cotangent, secant and cosecant

What is the Pythagorean Theorem?

• A² + B² = C².

• a12 - b^2 = c^2

• a^3 + b^3 = c^3

Answer explanation

In a right triangle with sides A, B, and hypotenuse C, the theorem states that A² + B² = C². The hypotenuse is the longest side, opposite the right angle

If a = 3 and b = 4, what is the length of the hypotenuse in a right triangle using the Pythagorean Theorem?

• 7

• 5

• 8

• 6

Answer explanation

answer is 5. The pythagorean theorem states that a² + b² = c². So in this case 3²+ 4² = C².

In a right triangle, if one angle is 30 degrees, what are the measures of the other two angles

Answer explanation

The three angles of a triangle add up to 180 degrees. A right angle is 90 degrees, so the two acute angles have the remaining 90 degrees to split between them in a proportion of 2:1. As there are three “portions” and 90/3=30, you end up with angles of 1*30 and 2*30 degrees.

A ladder is against a wall. If the ladder is 10 feet long and the base of the wall is 6 feet away from the wall, how high up the wall does the ladder reach?

• 5 feet

• 12feet

• 8 feet

Answer explanation

With the ladder leaning at the wall, the wall and the ground form a right angle. That makes the ladder the hypotenuse of a right triangle. As such the Pythagorean Theorem a² + b² = c² applies

O Which side is opposite  ∠A\angle A∠A  ?

• a

• b

• c

Answer explanation

The opposite side to a angle in a triangle is that side that is not an adj side to that angle.

What is the perimeter of the rectangle?

• 14 sq feet
• 28 feet
• 48 feet
• 48 sq feet

What is the opposite of squaring a number?

• divide
• multiply 
• fractions
• square root

We can use SOH-CAH-TOA for...

• Any triangle ever
• Non-right triangles only
• Right Triangles only
• Never

Answer explanation

to find a side or angle in a right-angled triangle