*Solving the equation and rounding to the nearest tenth gives you Sometimes you may be given enough information about a right triangle to solve the triangle, but that information may not include the measures of the acute angles.*In this situation, you will need to use the inverse trigonometric function keys on your calculator to solve the triangle.

Note that the hypotenuse is twice as long as the shortest leg which is opposite the 30° angle, so that .

The length of the longest leg which is opposite the 60Since we know all the measures of the angles, we now need to find the lengths of the missing sides.

You can find the exact values of these functions without a calculator. Suppose you had a right triangle with an acute angle that measured 45°.

Since the acute angles are complementary, the other one must also measure 45°.

Remember that the two acute angles will give you different trigonometric function values.

Use the Pythagorean Theorem to find the opposite side length. The correct answer is Some problems may provide you with the values of two trigonometric ratios for one angle and ask you to find the value of other ratios.

In the example above, you were given one side and an acute angle.

In the next one, you’re given two sides and asked to find an angle.

If you split the equilateral triangle down the middle, you produce two triangles with 30°, 60° and 90° angles. They both have a hypotenuse of length 2 and a base of length 1.

You can use this triangle (which is sometimes called a 30° - 60° - 90° triangle) to find all of the trigonometric functions for 30° and 60°.

## Comments Solving Right Triangles Word Problems

## Awesome Word Problems To Engage Students

A key to differentiated instruction, word problems that students can relate to and contextualize will capture interest more than generic and abstract ones. Final Thoughts about Math Word Problems. You’ll likely get the most out of this resource by using the problems as templates, slightly modifying them by applying the above tips.…

## Solving right triangles word problems

Free math problem solving worksheets for 2nd grade what is friendship all about solving linear equation word problems worksheet essay checklist abstract for dissertation template writing effective business plans how to write graduate research proposal tesco business plan online crime research paper with abs traction make assignments on.…

## Learn Pythagorean Theorem Problems Solving Right Triangles

Pythagorean Theorem Word Problems. Word problems using the Pythagorean theorem require you to draw or imagine a right triangle where two of the sides are of known length. When solving these problems, remember the following The diagonal across a rectangle creates two congruent right triangles.…

## Solving SSA Triangles - Maths Resources

Note there is only one answer in this case. The "12.4" line only joins up one place. The other possible answer for L is 149.9°. But that is impossible because we already have M = 125° and a triangle can't have two angles greater than 90°.…

## Word Problems Vectors - Right Triangle Relationships

A typical problem involving vectors and right triangles gives us information about a vector and/or its components. We are asked to find information about unmeasured components and angles. Note that we will represent vectors either by using bold type v or by using the vector notation.…

## Trig Word Problems #1 Trigonometry - Right Triangles

Trig Word Problems #1 Reference Mathematics Trigonometry Trigonometry - Right Triangles Now that we have a basic understanding of what the trig functions sine, cosine, and tangent represent, and we can use our calculators to find values of trig functions, we can use all of this to solve some word problems.…

## Math Plane - Trigonometry Word Problems

Download Free Complete Trigonometry Word Problems file _____ Connections. Find reliable custom writing from _____ Right Triangle Word ProblemsAngle of Elevation lesson at VIDEO Trigonometry word problem examples and Applications of Trig from _____ Math Comic #139 - "Getting it W.…

## Solving Triangles Brilliant Math & Science Wiki

When we want to solve a triangle, this means that we want to find all/some of the unknown lengths and angles of the triangle. Submit your answer The diagram to the right shows a triangle.…

## Braingenie Solving Right Triangles Overview

Use trigonometric identities to transform the left side of the equation into the right side Solving Right Triangles. Word Problems – Angle of Elevation…