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Construct a Triangle Using the Given Data: Xy - Xz = 1.5 Cm, Yz = 3.4 Cm and ∠X = 45° - Mathematics

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Question

Construct a triangle using the given data: XY - XZ = 1.5 cm, YZ = 3.4 cm and ∠X = 45°

Sum

Solution

XY - XZ = 1.5 cm, YZ = 3.4 cm and ∠X = 45°

Steps of Construction:
1. Draw a line segment YZ = 3.4 cm.
2. With Y as centre, draw ∠TYZ = 45°.
3. From YT, cut YS = 1.5 cm.
4. Join S and Z.
5. Draw perpendicular bisector of SZ which cuts YT at X.
6. Join XZ.
Thus, XYZ is the required triangle.

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Chapter 14: Constructions of Triangles - Exercise 14.1

APPEARS IN

Frank Mathematics [English] Class 9 ICSE
Chapter 14 Constructions of Triangles
Exercise 14.1 | Q 11.3
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