Geo Review Rt Triangles and Trig BOTH SRT.C.6 and SRT.C.8

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: c² = a² + b².

Front

What are the side ratios in a 30-60-90 triangle?

Back

In a 30-60-90 triangle, the ratios of the lengths of the sides are 1 : √3 : 2. The side opposite the 30° angle is the shortest (1), the side opposite the 60° angle is √3, and the hypotenuse is 2.

Front

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

Back

To find the length of a side in a right triangle, you can use the sine, cosine, or tangent ratios. For example, if you know an angle and the length of one side, you can use: sin(θ) = opposite/hypotenuse, cos(θ) = adjacent/hypotenuse, or tan(θ) = opposite/adjacent.

Front

What is the tangent of an angle in a right triangle?

Back

The tangent of an angle in a right triangle is the ratio of the length of the opposite side to the length of the adjacent side. It can be expressed as: tan(θ) = opposite/adjacent.

Front

What is the value of sin(30°)?

Back

The value of sin(30°) is 1/2.

Front

What is the value of cos(60°)?

Back

The value of cos(60°) is 1/2.

Front

What is the value of tan(45°)?

Back

The value of tan(45°) is 1.

Front

How do you convert a decimal to a radical form?

Back

To convert a decimal to radical form, you can express the decimal as a fraction and then simplify the fraction if possible. For example, 0.5 can be expressed as 1/2, which can be written as √(1/4) = 1/2.

Front

What is the formula for the area of a right triangle?

Back

The area of a right triangle can be calculated using the formula: Area = (1/2) * base * height.

Front

What is the relationship between the angles in a right triangle?

Back

In a right triangle, the sum of the three angles is always 180°. One angle is 90°, and the other two angles are complementary, meaning they add up to 90°.