Finding Sides of 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

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

Back

To find the length of a missing side in a right triangle, use the Pythagorean Theorem. Rearrange the formula a² + b² = c² to solve for the missing side.

Front

What is the sine function in relation to a right triangle?

Back

The sine function (sin) of an angle in a right triangle 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 relation to a right triangle?

Back

The cosine function (cos) of an angle in a right triangle 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 relation to a right triangle?

Back

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

Front

If one side of a right triangle is 10 cm and the other is 24 cm, what is the length of the hypotenuse?

Back

Using the Pythagorean Theorem: c = √(10² + 24²) = √(100 + 576) = √676 = 26 cm.

Front

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

Back

In a right triangle, the angles are related to the sides through trigonometric ratios (sine, cosine, tangent). The larger the angle, the longer the opposite side.

Front

How do you round a number to one decimal place?

Back

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

Front

What is the formula to find the area of a right triangle?

Back

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

Front

If the hypotenuse of a right triangle is 15 cm and one side is 9 cm, how do you find the other side?

Back

Use the Pythagorean Theorem: a² + 9² = 15². Rearranging gives a² = 15² - 9² = 225 - 81 = 144. Thus, a = √144 = 12 cm.