How will you solve this Right Triangle? Geometry CH 8

How will you solve this Right Triangle? Geometry CH 8

Make a sketch, devise a plan of attack!

What's Important Now?

• Pay close attention to the GIVEN information.

• Read and re-read the question so you will confidently know where you are headed with your work.

• Be sure you have answered the question asked before moving on to the next question and make sure that your answer is reasonable (heads up if a non-hypotenuse side that you find is larger than the hypotenuse, you find the length of a side or angle that is a negative value, or your answer does not makes sense otherwise).

Multiple Choice

Before solving Right Triangle problems in your geometry class, you should make sure your calculator is in what MODE?

• Radians

• Degrees

Multiple Choice

If the given information includes 2 sides of a right triangle and you must find the remaining side, how will you solve for that side?

• Special Right Triangle ratios/rules.

• SOH-CAH-TOA

• Pythagorean Theorem

• Geometric Mean Proportions

Multiple Choice

If you are given the three side lengths of a triangle, is it possible figure out if the triangle is right, obtuse, acute...or not a triangle at all?

• Of course it is!

• Nope.

Multiple Choice

To figure out whether or not the three given side lengths form a right triangle, acute triangle, obtuse triangle you must....

• Make sure its a triangle by adding the smallest two sides to make sure their sum is larger than the third side, then find the value of the square of the largest side (c²) and compare that to the sum of the squares of smaller two sides (a²+b²)

• Make sure its a triangle by adding the smallest two sides to make sure their sum is larger than the third side, then find the value of the square of the first number and compare that to the sum of the squares of other two numbers.

Multiple Choice

If the given information includes 1 side and 1 of the acute angles of a right triangle and you must find one of the unknown sides, how will you solve for that side?

• Special Right Triangle ratios/rules.

• SOH-CAH-TOA

• Pythagorean Theorem

• Geometric Mean Proportions

Multiple Choice

When setting up a SOH-CAH-TOA problem, you will always need to decide which TRIG function to use based upon the perspective of one of the acute angles. SOH-CAH-TOA peers out over the land of RIGHT TRIANGLE to make this important determination.

• True

• False

Multiple Choice

When you solve for a missing angle using SOH-CAH-TOA, you will always have to use which important calculator key to find the correct answer?

• Mode

• 2nd

• alpha

• stat

Multiple Choice

If the given information includes 1 of the sides and a 30-degree angle of a right triangle and you must find one of the unknown sides, how will you solve for that side?

• Special Right Triangle ratios/rules.

• SOH-CAH-TOA

• Pythagorean Theorem

• Geometric Mean Proportions

Multiple Choice

If the given information includes the fact that both of the acute angles of a right triangle are congruent and you are given the hypotenuse and you must find one of the unknown sides, how will you solve for that side?

• Special Right Triangle ratios/rules.

• SOH-CAH-TOA

• Pythagorean Theorem

• Geometric Mean Proportions

Multiple Select

The ratios of sides that form a right triangle can become recognizable and predictable after you have worked with them a while. The most common right triangle ratios are called Pythagorean Triples.

• True

• False

Multiple Choice

If the given information includes an altitude drawn to the hypotenuse (you have the value) of a right triangle and you are given both parts of the hypotenuse, how would you solve for the altitude?

• Pythagorean Theorem

• Special Right Triangle ratio/rules.

• Geometric Mean Proportions

• SOH-CAH-TOA

Multiple Choice

How many similar triangles are formed when the altitude is drawn to the hypotenuse of a right triangle?

• 1

• 2

• 3

• 4

Multiple Choice

If the altitude is drawn to the hypotenuse of a right triangle, the altitude is the geometric mean of the two parts of the hypotenuse. So, the altitude could be found by taking the square root of the product of the parts of the hypotenuse.

• This is TRUE!

• Nope. That will NOT work!

Multiple Choice

If the altitude is drawn to the hypotenuse of a right triangle, you could find one of the missing legs if you took the square root of the product of.....

• the altitude and hypotenuse

• the parts of the hypotenuse

• the whole hypotenuse and the adjacent part of the hypotenuse

• the whole hypotenuse and the other leg

Multiple Choice

When setting up a diagram of a right triangle to match the given information in an angle of elevation or angle of depression word problem, you must remember to use the HORIZONTAL line as one side of your angle and the angles will always be.....

• pretty close

• they are congruent, the angle of depression is always the same as the angle of elevation.

Multiple Select

You can find a missing side in a non-Right triangle as long as you have at least two of the angles and 1 side by using...

• The Law of Sines

• The Law of Cosines

Multiple Select

To find the side opposite an included angle in a non-Right triangle when given both sides adjacent to the included angle, use...

• The Law of Sines

• The Law of Cosines