High School Math : Finding Sides

Study concepts, example questions & explanations for High School Math

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Example Questions

Example Question #1 : Solving Triangles

Solve for .

Question_7

(Figure not drawn to scale).

Possible Answers:

There is not enough information

Correct answer:

Explanation:

The side-angle-side (SAS) postulate can be used to determine that the triangles are similar. Both triangles share the angle farthest to the right. In the smaller triangle, the upper edge has a length of , and in the larger triangle is has a length of . In the smaller triangle, the bottom edge has a length of , and in the larger triangle is has a length of . We can test for comparison.

The statement is true, so the triangles must be similar.

We can use this ratio to solve for the missing side length.

To simplify, we will only use the lower edge and left edge comparison.

Cross multiply.

Example Question #1 : Finding Sides

Solve for .

Question_12

(Figure not drawn to scale).

Possible Answers:

Correct answer:

Explanation:

We can solve using the trigonometric definition of tangent.

We are given the angle and the adjacent side.

We can find  with a calculator.

Example Question #3 : Solving Triangles

Trig_id

If  equals  and  is , how long is 

Possible Answers:

Not enough information to solve

Correct answer:

Explanation:

This problem can be easily solved using trig identities.  We are given the hypotenuse  and .  We can then calculate side  using the .

Rearrange to solve for .

If you calculated the side to equal  then you utilized the  function rather than the .

Example Question #1 : Graphs And Inverses Of Trigonometric Functions

Triangle

What is the length of CB?

Possible Answers:

Correct answer:

Explanation:

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