solving right triangles

Front

What is a right triangle?

Back

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

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): c² = a² + b².

Front

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

Back

To find the length of a side using sine, use the formula: sin(θ) = opposite/hypotenuse.

Front

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

Back

To find the length of a side using cosine, use the formula: cos(θ) = adjacent/hypotenuse.

Front

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

Back

To find the length of a side using tangent, use the formula: tan(θ) = opposite/adjacent.

Front

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

Back

In a right triangle, the side opposite the largest angle is the longest side (hypotenuse), and the side opposite the smallest angle is the shortest side.

Front

What is the sine of a 30-degree angle?

Back

The sine of a 30-degree angle is 0.5.

Front

What is the cosine of a 60-degree angle?

Back

The cosine of a 60-degree angle is 0.5.

Front

What is the tangent of a 45-degree angle?

Back

The tangent of a 45-degree angle is 1.

Front

How do you solve for an angle in a right triangle using sine?

Back

To solve for an angle using sine, use the formula: θ = sin⁻¹(opposite/hypotenuse).