# 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.

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.