Similar Figures Examples
Example 1: In the Δ ABC length of the sides is given as AP = 4 cm, PB = 12 cm, and BC = 20 cm. Also PQ||BC. Find PQ.
Solution:
In ΔABC and ΔAPQ, ∠PAQ is common and ∠APQ = ∠ABC (corresponding angles).
⇒ ΔABC ~ ΔAPQ (AA criterion for similar triangles)
⇒ AP/AB = PQ/BC
⇒ 4/12 = PQ/20
⇒ 3 = PQ/20
⇒ PQ = 20/3 cm
Example 2: If the following figures are similar, Find the value of x.
Solution:
5/20 = 12/x = 13/52
5×x = 20×12
5x = 240
5x/5 = 240/5
x = 48
Similar Figures
Similar figures are two figures having the same shape. Similar figures can or can not have the same area. Congruent shapes are the shapes that are the same with the same areas.
In this article, we will learn about, similar figures, properties of similar figures, related examples and others in detail.
Table of Content
- What is Similarity in Maths?
- What are Similar Figures?
- Properties of Similar Figures
- Scale Factor
- Similarity for Triangle
- Real-world Examples
- Applications of Similar Figures
- Conclusion Similar Figures