To Construct a Right Triangle when its Hypotenuse and One Side are given



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]



Steps of Construction:

(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.




  • 5th Grade Geometry Page

    5th Grade Math Problems

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