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.

**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** **From To Construct a Right Triangle when its Hypotenuse and One Side are given to HOME PAGE**

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