NCERT Solutions for Class 7 Maths Chapter 10: Practical Geometry - Exercise 10.5

Exercise 10.5

1. Construct the right angled $\vartriangle PQR$, where $m\angle Q = {90^ \circ }$, $QR = 8$cm and $PR = 10$cm.

Ans: To construct: A right angled triangle $PQR$ where $m\angle Q = {90^ \circ }$, $QR = 8$cm and $PR = 10$cm.

Steps of construction:

(a) Draw a line segment $QR = 8$cm.

(b) At point $Q$, draw $QX \bot QR$.

(c) Considering $R$ as centre, draw an arc of radius $10$cm.

(d) This arc cuts $QX$ at point $P$.

(e) Join $PQ$.

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This is the required right angle triangle $PQR$.

2. Construct a right angled triangle whose hypotenuse is $6$cm long and one the legs is $4$cm long.

Ans: To construct: A right angled triangle $DEF$ where $DF = 6$cm and $EF = 4$cm

Steps of construction:

(a) Draw a line segment $EF = 4$cm.

(b) At point $Q$, draw $EX \bot EF$.

(c) Taking $F$ as centre and radius $6$cm, draw an arc. (Hypotenuse)

(d) This arc cuts the $EX$ at point $D$.

(e) Join $DF$.

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This is the required right angle triangle $DEF$.

3. Construct an isosceles right angled triangle $ABC$, where $m\angle C = {90^ \circ }$ and $AC = 6$cm.

Ans: To construct: An isosceles right angled triangle $ABC$ where $m\angle C = {90^ \circ }$ and$AC = BC = 6$cm.

Steps of construction:

(a) Draw a line segment $AC = 6$cm.

(b) At point $C$, draw $XC \bot CA$.

(c) Taking $C$ as centre and radius $6$cm, draw an arc.

(d) This arc cuts $CX$ at point $B$.

(e) Join $BA$.

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This is the required isosceles right angled triangle $ABC$.

NCERT Solutions for Class 7 Maths Chapter 10 Practical Geometry Exercise 10.5

Opting for the NCERT solutions for Ex 10.5 Class 7 Maths is considered as the best option for the CBSE students when it comes to exam preparation. This chapter consists of many exercises. Out of which we have provided the Exercise 10.5 Class 7 Maths NCERT solutions on this page in PDF format. You can download this solution as per your convenience or you can study it directly from our website/ app online.

Vedantu in-house subject matter experts have solved the problems/ questions from the exercise with the utmost care and by following all the guidelines by CBSE. Class 7 students who are thorough with all the concepts from the Subject Practical Geometry textbook and quite well-versed with all the problems from the exercises given in it, then any student can easily score the highest possible marks in the final exam. With the help of this Class 7 Maths Chapter 10 Exercise 10.5 solutions, students can easily understand the pattern of questions that can be asked in the exam from this chapter and also learn the marks weightage of the chapter. So that they can prepare themselves accordingly for the final exam.

Besides these NCERT solutions for Class 7 Maths Chapter 10 Exercise 10.5, there are plenty of exercises in this chapter which contain innumerable questions as well. All these questions are solved/answered by our in-house subject experts as mentioned earlier. Hence all of these are bound to be of superior quality and anyone can refer to these during the time of exam preparation. In order to score the best possible marks in the class, it is really important to understand all the concepts of the textbooks and solve the problems from the exercises given next to it.

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