Solving Similar Triangles
| Site: | Saylor Academy |
| Course: | GKT101: General Knowledge for Teachers – Math |
| Book: | Solving Similar Triangles |
| Printed by: | Guest user |
| Date: | Tuesday, May 13, 2025, 11:39 PM |
Description
Watch the examples in this lecture series to see how to use the similarity to find missing elements of a triangle. Complete the interactive exercises for practice.
Solving similar triangles
Source: Khan Academy, https://www.khanacademy.org/math/geometry-home/similarity/solving-similar-triangles/e/solving_similar_triangles_1
This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 License.
Solving similar triangles: same side plays different roles
Practice
Solve similar triangles (basic) - Questions
1. Triangle \(X Y Z\) is similar to triangle \(P Q R\).
Solve for \(k\).
\(k=\) _______
2. Triangle \(F G H\) is similar to triangle \(D E F\).
Solve for \(p\).
\(p=\) _______
3. Triangle \(A B C\) is similar to triangle \(D E F\).
Solve for \(r\).
\(r=\) _________
4. Triangle \(A B C\) is similar to triangle \(F G H\).
Solve for \(p\).
\(p=\) ________
Solve similar triangles (basic) - Answers
1. \(k\) is equal to \(3.5\).
2. \(p\) is equal to \(16\).
3. \(r\) is equal to \(16\).
4. \(p\) is equal to \(21\).
Solve similar triangles (advanced) - Questions
1. Solve for \(x\).
\(x=\) _______
2. Solve for \(x\).
\(x=\) _______
3. Solve for \(x\).
\(x=\) _______
4. Solve for \(x\).
\(x=\) _______
Solve similar triangles (advanced) - Answers
1. \(x=\dfrac{30}{11}\)
2. \(x=\dfrac{9}{8}\)
3. \(x=10\)
4. \(x=\dfrac{11}{5}\)