Solving Right Triangles

Front

What is a right triangle?

Back

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

Tags

CCSS.4.G.A.2

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): a² + b² = c².

Tags

CCSS.8.G.B.7

Front

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

Back

To find the length of a side, rearrange the Pythagorean theorem formula to solve for the unknown side.

Tags

CCSS.8.G.B.7

Front

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

Back

The sine of an angle in a right triangle is the ratio of the length of the opposite side to the length of the hypotenuse.

Tags

CCSS.HSG.SRT.C.6

Front

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

Back

The cosine of an angle in a right triangle is the ratio of the length of the adjacent side to the length of the hypotenuse.

Tags

CCSS.HSG.SRT.C.6

Front

What is the tangent function in relation to 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.

Tags

CCSS.HSG.SRT.C.6

Front

How do you use trigonometric ratios to find missing angles in a right triangle?

Back

You can use the inverse trigonometric functions (arcsin, arccos, arctan) to find missing angles based on the known side lengths.

Tags

CCSS.HSG.SRT.C.8

Front

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

Back

The sum of the angles in any triangle is 180 degrees, and in a right triangle, the two non-right angles must sum to 90 degrees.

Tags

CCSS.8.G.A.5

Front

How do you round numbers to the nearest tenth?

Back

To round a number to the nearest tenth, look at the hundredths place; if it is 5 or greater, round up the tenths place by one.

Tags

CCSS.3.NBT.A.1

CCSS.4.NBT.A.3

Front

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

Back

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

Tags

CCSS.6.G.A.1