Finding Missing Sides and Angles Right Triangle Trig Review

Front

What is the Pythagorean theorem?

Back

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, you can use the Pythagorean theorem if you know the lengths of the other two sides. If you know one side and an angle, you can use trigonometric ratios (sine, cosine, tangent) to find the missing side.

Front

What is the sine ratio in a right triangle?

Back

Front

What is the cosine ratio in a right triangle?

Back

Front

What is the tangent ratio in a right triangle?

Back

Front

How do you calculate the angle in a right triangle using trigonometric ratios?

Back

To calculate an angle in a right triangle, you can use the inverse trigonometric functions: \( \text{angle} = \sin^{-1}(\frac{O}{H}), \text{angle} = \cos^{-1}(\frac{A}{H}), \text{angle} = \tan^{-1}(\frac{O}{A}) \).

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 degrees. One angle is always 90 degrees, so the other two angles must add up to 90 degrees.

Front

If one side of a right triangle is 18.0 cm and the hypotenuse is 21.4 cm, how do you find the other side?

Back

Front

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

Back

Front

How do you round an angle to the nearest tenth?

Back

To round an angle to the nearest tenth, look at the hundredths place. If it is 5 or greater, round up the tenths place by one. If it is less than 5, keep the tenths place the same.