Right Triangle Trig REVIEW

Front

What is the Pythagorean theorem?

Back

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b). It can be expressed as: a² + b² = c².

Tags

CCSS.8.G.B.8

Front

How do you classify a triangle with side lengths 13, 40, and 60?

Back

This triangle is classified as 'not a triangle' because the sum of the lengths of any two sides must be greater than the length of the third side. Here, 13 + 40 is not greater than 60.

Tags

CCSS.7.G.A.2

Front

What is the formula to find the height of a triangle using trigonometry?

Back

The height (h) can be found using the formula: h = a * sin(θ), where 'a' is the length of the base and 'θ' is the angle opposite the height.

Tags

CCSS.HSG.SRT.C.8

Front

What does it mean to simplify a radical expression?

Back

Simplifying a radical expression means to rewrite it in its simplest form, removing any perfect square factors from under the radical sign.

Front

If a right triangle has one angle measuring 90 degrees, what are the measures of the other two angles?

Back

The other two angles must add up to 90 degrees, as the sum of all angles in a triangle is 180 degrees.

Tags

CCSS.8.G.A.5

Front

What is the relationship between the sides of a 30-60-90 triangle?

Back

In a 30-60-90 triangle, the lengths of the sides are in the ratio 1:√3:2. The side opposite the 30-degree angle is the shortest, the side opposite the 60-degree angle is √3 times the shortest side, and the hypotenuse is twice the shortest side.

Tags

CCSS.HSG.CO.C.10

Front

How do you find the length of a side in a right triangle using trigonometric ratios?

Back

You can use sine, cosine, or tangent ratios. For example, if you know an angle and the length of one side, you can find the other sides using: sin(θ) = opposite/hypotenuse, cos(θ) = adjacent/hypotenuse, tan(θ) = opposite/adjacent.

Tags

CCSS.HSG.SRT.C.8

Front

What is the definition of an acute triangle?

Back

An acute triangle is a triangle where all three angles are less than 90 degrees.

Tags

CCSS.4.G.A.2

Front

What is the definition of an obtuse triangle?

Back

An obtuse triangle is a triangle that has one angle greater than 90 degrees.

Tags

CCSS.4.G.A.2

Front

What is the significance of the hypotenuse in a right triangle?

Back

The hypotenuse is the longest side of a right triangle, opposite the right angle, and is crucial for applying the Pythagorean theorem.

Tags

CCSS.8.G.B.8