# Solving Similar Triangles

Solving Similar Triangles delves into the geometric realm where proportional relationships and corresponding angles intersect. This subject unfolds the principles governing triangles that share identical angles, elucidating the methods to establish congruence and similarity. Exploring the intricacies of corresponding sides and angles, this study equips learners with the tools to navigate geometric puzzles and real-world applications. Whether unraveling problems in trigonometry or understanding spatial relationships, mastering the art of Solving Similar Triangles lays the foundation for geometric proficiency, offering clarity in a realm defined by proportional parallels and angular congruities.

- The smaller of two similar triangles has a perimeter of 20cm (#a+b+c=#20cm). The lengths of the longest sides of both triangles are in proportion 2:5. What is the perimeter of the larger triangle? Please explain.
- How to solve for x?
- If DB = 24, AE = 3, and EC= 18, what is AD?
- Karen says the angles of her triangle measure 90, 50, and 60. why is this impossible?
- What is the value of x?
- At the same time of day, a man who is 57.6 inches tall casts a 49.2-inch shadow and his son casts a 41-inch shadow. How do you use similar triangles to determine the height of the man's son?
- Javier (who is exactly 5 feet tall) notices that his shadow is 4 feet long and that the shadow of a nearby tree is 10 feet long. How tall is the tree?
- A 6-foot spruce tree is planted 15 feet from a lighted streetlight whose lamp is 18 feet above the ground. How many feet long is the shadow of that tree?
- Two triangles are similar and have sides of 8, 12, 28 and 6, 9, 21. What is the ratio of similarity between the two triangles?
- Please solve q 60 ?
- The angles of similar triangles are equal always, sometimes, or never?
- A person is standing 40ft away from a street light that is 30ft tall. How tall is he if his shadow is 10ft long?
- Can someone help me find the ratio for the sides of this triangle?
- Delroy’s sailboat has two sails that are similar triangles. The larger sail has sides of 10 feet, 24 feet, and 26 feet. If the shortest side of the smaller sail measures 6 feet, what is the perimeter of the smaller sail?
- A school building has a height of 40 feet. Its shadow is currently 13.5 feet long, and the shadow of the church next door is 20.7 feet long. How would you use similar triangles to calculate the height of the church to the nearest tenth of a foot?
- Yosief is 4 feet 9 inch boy. He stands in front of a tree and sees that it's shadow coincide with his. Yosief shadow measures 9 feet 6 inches. Yosief measures the distance between him and the tree to calculate its height, how does he do it?
- A 6 ft tall tent standing next to a cardboard box casts a 9 ft shadow. If the cardboard box casts a shadow that is 6 ft long then how tall is it?
- Suppose triangle ABC ~ triangle GHI with scale factor 3:5, and AB=9, BC=18 and AC=21. What is the perimeter of triangle GHI?
- Given two similar triangles with a scale factor of a : b, show the ratio of their perimeters is also a : b?
- When placed in the box, a large pizza can be described as being "inscribed" in a square box. If the pizza is 1" thick, find the volume of the pizza, in cubic inches given the volume of the box is 324 cubic inches?