Geometry SOL Review G.8 Right Triangles

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). Formula: a² + b² = c².

Front

What is the definition of a right triangle?

Back

A right triangle is a triangle that has one angle measuring 90 degrees.

Front

How do you calculate the length of the hypotenuse in a right triangle?

Back

To find the length of the hypotenuse, use the Pythagorean Theorem: c = √(a² + b²), where c is the hypotenuse and a and b are the other two sides.

Front

What is the angle of depression?

Back

The angle of depression is the angle formed by a horizontal line and the line of sight to an object below the horizontal line.

Front

How do you find the angle of elevation?

Back

The angle of elevation is found using the inverse tangent function: angle = tan⁻¹(opposite/adjacent).

Front

What is the sine function in a right triangle?

Back

The sine of an angle is the ratio of the length of the opposite side to the length of the hypotenuse. Formula: sin(θ) = opposite/hypotenuse.

Front

What is the cosine function in a right triangle?

Back

The cosine of an angle is the ratio of the length of the adjacent side to the length of the hypotenuse. Formula: cos(θ) = adjacent/hypotenuse.

Front

What is the tangent function in a right triangle?

Back

The tangent of an angle is the ratio of the length of the opposite side to the length of the adjacent side. Formula: tan(θ) = opposite/adjacent.

Front

How do you round a number to the nearest hundredth?

Back

To round to the nearest hundredth, look at the third decimal place. If it is 5 or greater, round up the second decimal place by one. If it is less than 5, keep the second decimal place the same.

Front

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

Back

In a right triangle, the sum of the two non-right angles is always 90 degrees.