Special Right Triangles
Special right triangles are a fundamental concept in geometry, providing unique relationships between their sides and angles. These triangles, including the well-known 45-45-90 and 30-60-90 triangles, possess distinct properties that simplify calculations and problem-solving in various mathematical and real-world contexts. Understanding these special triangles not only facilitates geometric analysis but also lays a solid foundation for more advanced mathematical concepts. By recognizing their distinct characteristics, students and mathematicians alike can efficiently solve problems involving angles, side lengths, and trigonometric functions, making them indispensable tools in geometry and beyond.
Questions
- The length of the small leg of a 30°-60°-90° triangle is 3. What is its perimeter?
- In a 30-60-90 triangle, the shorter leg has length of #8sqrt3# m. What is the length of the other leg (L) and the hypotenuse?
- What is a 45-45-90 triangle? Please give an example.
- Sherry spots a car as she is looking down at a 70° angle from the top of the Eiffel Tower, which is 1063 ft tall. How far away from the base of the tower is the car?
- How would I find the area of a 45-45-90 triangle with one side of length 73?
- In the triangle ABC AB=12cm angle BAC=60 and ACB is 45 find the exact length of BC?
- How do you find the remaining sides of a #45^circ-45^circ-90^circ# triangle if the longest sides are each #5sqrt2#?
- What is the value of x?What is the answer in simplest form?
- If the shortest leg of the 30-60-90 triangle is 8.5 ft, then what is the perimeter?
- Why do you need to use special right triangles?
- How and when do we use SOHCAHTOA?
- How do you find the remaining sides of a #45^circ-45^circ-90^circ# triangle if the longest sides are each #8sqrt2#?
- In a 30-60-90 triangle, where the long leg is 12, what is the length of the short leg?
- The coordinates of the vertices of triangle ABC are A(-1,3), B(1,2) and C(-3,-1). Determine the slope of each side of the triangle and use that information to determine if the triangle is a right triangle or not?
- What is value of x?
- What is a 30-60-90 triangle? Please give an example.
- How do you know when to use the special right triangles?
- Is a triangle with sides of 3,4,6 a right triangle?
- In a 45-45-90 triangle, one of the legs is #2sqrt2#. What is the length of the hypotenuse?
- The hypotenuse of a 30°- 60°- 90° right triangle measures 22 cm. What are the lengths of the longer leg and shorter leg?