Tamil Nadu Board of Secondary EducationSSLC (English Medium) Class 10th

# Check whether the triangles are similar and find the value of x - Mathematics

Sum

Check whether the triangles are similar and find the value of x

#### Solution

In ∆ABC and ∆PQC

∠PQC = 70°

∠ABC = ∠PQC = 70°

∠ACB = ∠PCQ ...(common)

∆ABC ~ ∆PQC

5/x = 6/3

6x = 15

x = 15/6 = 5/2

∴ x = 2.5

∆ABC and ∆PQC are similar.

The value of x = 2.5

Concept: Similarity
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#### APPEARS IN

Samacheer Kalvi Mathematics Class 10 SSLC Tamil Nadu State Board
Chapter 4 Geometry
Exercise 4.1 | Q 1. (ii) | Page 170