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

# Construct a triangle similar to a given triangle LMN with its sides equal to 45 of the corresponding sides of the triangle LMN (scale factor 45<1) - Mathematics

Sum

Construct a triangle similar to a given triangle LMN with its sides equal to 4/5 of the corresponding sides of the triangle LMN (scale factor 4/5 < 1)

#### Solution

Given a triangle LMN, we are required to construct another triangle whose sides are 4/5 of the corresponding sides of the ∆LMN.

Steps of Construction:

1. Construct a ∆LMN with any measurement.

2. Draw a ray MX making an acute angle with MN on the side opposite to the vertex L.

3. Locate 5 Points Q1, Q2, Q3, Q4, Q5 on MX.
So that MQ1 = Q1Q2 = Q2Q3 = Q3Q4 = Q4Q5

4. Join Q5 N and draw a line through Q4. Parallel to Q5 N to intersect MN at N’.

5. Draw a line through N’ parallel to the line LN to intersect ML at L’.

∴ ∆L’MN’ is the required triangle.

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 11 | Page 171