Class 10 Maths · Constructions (old syllabus) · NCERT Exercise 10.4 · Question 7

Constructions (old syllabus) Hard

Draw a triangle

A B C

in which

A B = 4

cm,

B C = 6

cm and

A C = 9

cm. Construct a triangle similar to

△ A B C

with scale factor

\frac{3}{2}

. Justify the construction. Are the two triangles congruent? Note that all the three angles and two sides of the two triangles are equal.

Answer

The constructed triangle is similar to

△ A B C

with all sides

\frac{3}{2}

times larger; the two triangles are **not** congruent because the side ratio is

3/2 \neq = 1

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