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Construct a δRst with Side St = 5.4 Cm, Rst = 60° and the Perpendicular from R on St = 3.0 Cm. - Mathematics

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Question

Construct a ΔRST with side ST = 5.4 cm, RST = 60° and the perpendicular from R on ST = 3.0 cm.

Sum

Solution


Steps of construction:
1. Draw a line segment ST = 5.4 cm.
2. With S as centre, draw XS making an angle of 60° with ST i.e. XST = 60°.
3. Draw a straight line PQ parallel to ST at a distance of 3 cm from ST.
4. PQ meets XS at R.
5. Join RT.
Thus, RST is the required triangle with angle RST = 60°.

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Chapter 14: Constructions of Triangles - Exercise 14.1

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Frank Mathematics [English] Class 9 ICSE
Chapter 14 Constructions of Triangles
Exercise 14.1 | Q 15
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