NCERT Solutions for Class 7 Maths Chapter 10 Exercise 10.5

NCERT Solutions for Class 7 Maths Chapter 10 Practical Geometry Exercise 10.5 is provided in the article below as a pdf. The solutions for exercise 10.5 are provided with step-by-step instructions on the construction of triangles with given specifications.

The questions in exercise 10.5 are based on the RHS criterion of congruence of triangles. The students learn to construct triangles if the hypotenuse of the right-angled triangle and the length of one of its sides is given.

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Example From Class 7 Chapter 10 Practical Geometry

Ques. Construct a right-angled triangle where ∠A=90^o, BC= 5cm and AB= 3 cm

Ans. Steps of Construction:

STEP 1: At first, using a scale and a pencil, we draw a line segment of length 3 cm and label the endpoints as A and B respectively.

STEP 2: Using a protractor, we construct a right-angled triangle at point A.

STEP 3: From point B, an arc of length 5 cm is drawn and the point of intersection of AX is marked as C.

STEP 4: Points B and C are joined.

ABC is the required right-angled triangle that satisfies the RHS criterion of congruence.

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RHS Triangle Construction	Pythagoras Theorem	Geometry
Geometry Formula	Construction Formula	Types of Triangles

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