Special Triangles – Practice Problems
Having fun while studying, practice your skills by solving these exercises!
- Video
- Practice Problems
Two special right triangles are the 30-60-90 and the 45-45-90 triangles.
For a 30-60-90 triangle, the ratios of the side lengths are 1:√3:2. The smallest side is opposite 30º while the longest side, or hypotenuse, is opposite 90º. In a 45-45-90 triangle, the ratio of the side lengths are 1:1:√2. The longest side, or hypotenuse, is opposite 90º. When solving for the missing length of a side of a special right triangle given the length of one of its sides, use the Pythagorean Theorem and take note of the relevant side ratio to use.
A knowledge of special triangles has several applications in engineering works and construction.
Define trigonometric ratios and solve problems involving right triangles.
CCSS.MATH.CONTENT.HSG.SRT.C.8
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