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More Lessons for Grade 8

Math Worksheets

Videos, worksheets, stories, and solutions to help Grade 8 students learn about the special right triangles: 45-45-90, 30-60-90.

How to find missing sides and angles in special right triangles?

**Special Right Triangles: 30-60-90 and 45-45-90 Triangles**

Students learn that in a 45-45-90 triangle, the legs are congruent, and the length of the hypotenuse is equal to root 2 times the length of a leg. Students also learn that in a 30-60-90 triangle, the length of the long leg is equal to root 3 times the length of the short leg, and the length of the hypotenuse is equal to 2 times the length of the short leg.
**Special Right Triangles in Geometry: 45-45-90 and 30-60-90 degree triangles**

This video discusses two special right triangles, how to derive the formulas to find the lengths of the sides of the triangles by knowing the length of one side, and then do a few examples using them!

**Find Sides of 45-45-90 and 30-60-90 Right Triangles**

If you are given one side of a 45-45-90 triangle or one side of a 30-60-90 triangle you have enough information to solve for each of the two missing sides.

This video shows how to do it going from smaller sides to larger sides and larger sides to smaller sides. It also shows how the found sides can be used to find the perimeter and area of the right triangle.
**Special Right Triangle Explanation**

Explaining How to find the missing sides of right triangles using the relationships of sides for 30-60-90 right triangles, 45-45-90 right triangles, and 3-4-5 right triangles

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

More Lessons for Grade 8

Math Worksheets

Videos, worksheets, stories, and solutions to help Grade 8 students learn about the special right triangles: 45-45-90, 30-60-90.

How to find missing sides and angles in special right triangles?

Students learn that in a 45-45-90 triangle, the legs are congruent, and the length of the hypotenuse is equal to root 2 times the length of a leg. Students also learn that in a 30-60-90 triangle, the length of the long leg is equal to root 3 times the length of the short leg, and the length of the hypotenuse is equal to 2 times the length of the short leg.

This video discusses two special right triangles, how to derive the formulas to find the lengths of the sides of the triangles by knowing the length of one side, and then do a few examples using them!

If you are given one side of a 45-45-90 triangle or one side of a 30-60-90 triangle you have enough information to solve for each of the two missing sides.

This video shows how to do it going from smaller sides to larger sides and larger sides to smaller sides. It also shows how the found sides can be used to find the perimeter and area of the right triangle.

Explaining How to find the missing sides of right triangles using the relationships of sides for 30-60-90 right triangles, 45-45-90 right triangles, and 3-4-5 right triangles

Rotate to landscape screen format on a mobile phone or small tablet to use the **Mathway** widget, a free math problem solver that **answers your questions with step-by-step explanations**.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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