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Construct an Isosceles Triangle Whose Equal Sides Are 7 Cm Each and the Base Side is 5 Cm. Draw All Its Lines of Symmetry. - Mathematics

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Question

Construct an isosceles triangle whose equal sides are 7 cm each and the base side is 5 cm. Draw all its lines of symmetry. 

Sum

Solution

Steps of construction: 

(i) Draw a line segment AB = 5 cm 
 
(ii) With A as centre, cut an arc of 7 cm on one side of line segment AB. 
 
(iii) With B as centre, cut an arc of 7 cm on same side of line segment AB. Let the point be C. 
 
(iv) Join AC and BC. ABC is the required triangle. 
 
(v) Draw angle bisector of angle C meeting AB at D. 
 
(vi) CD is perpendicular bisector of AB and AC=BC. Hence CD is the line of symmetry. 
 
Isosceles triangle has only one line of symmetry. 
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Chapter 14: Symmetry - Exercise 14.1

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Frank Mathematics - Part 2 [English] Class 10 ICSE
Chapter 14 Symmetry
Exercise 14.1 | Q 1
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