To construct a right triangle when its hypotenuse and one side are given, let’s follow the examples.1. Draw a right angled triangle at C in which AB = 7 cm and BC = 5 cm.[First we draw a rough sketch of ∆ ABC]

Steps of Construction:

(i) Draw BC = 5 cm.(ii) Make ∠ BCX = 90°.(iii) With B as centre and radius 7 cm, cut off BA = 7 cm.(iv) Join AB.

Thus, ∆ ABC is the required ∆.2. Draw a right angled triangle at C in which XY = 7.5 cm and YZ = 5.5 cm.[First we draw a rough sketch of ∆ XYZ]

(i) Draw YZ = 5.5 cm.(ii) Make ∠ YZA = 90°.(iii) With Y as centre and radius 7.5 cm, cut off XY = 7.5 cm.(iv) Join XY.

Thus, ∆ XYZ is the required triangle.Related Links :● Triangle.

Classification of Triangle.Properties of Triangle.Worksheet on Triangle.To Construct a Triangle whose Three Sides are given.To Construct a Triangle when Two of its Sides and the included Angles are given.To Construct a Triangle when Two of its Angles and the included Side are given.To Construct a Right Triangle when its Hypotenuse and One Side are given.Worksheet on Construction of Triangles.

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