CBSE students can refer to NCERT Solutions for Class 7 Maths Chapter 10 Practical Geometry Ex 10.5 Textbook Questions and Answers are provided by experts in order to help students secure good marks in exams.

## Class 7 Maths NCERT Solutions Chapter 10 Practical Geometry Ex 10.5

**Ex 10.5 Class 7 Maths Question 1.**

Construct the. right-angled ∆PQR, where m∠Q = 90°, QR = 8 cm and PR = 10 cm.

**Solution:**

**Steps of Construction:
**

- Draw a line segment QR = 8 cm.
- Draw ∠XQR = 90°.
- With R as centre and radius =10 cm, draw an arc to intersect ray QX at P.
- Join RP to obtain the required ∆PQR.

**Ex 10.5 Class 7 Maths Question 2.**

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

**Solution:**

**Steps of Construction :
**

- Draw a line segment QR = 4 cm.
- Draw ∠XQR = 90°.
- With R as centre and radius equal to hypotenuse 6 cm, draw an arc to intersect ray QX at P.
- Join RP to obtain the required ∆PQR.

**Ex 10.5 Class 7 Maths Question 3.**

Construct an isosceles right-angled triangle ABC, where m ∠ACB = 90° and AC = 6 cm.

**Solution:**

**Steps of Construction :
**

- Draw a line segment CB = 6 cm (∵ CB = AC = 6 cm)
- Draw ∠BCX = 90°.
- With C as centre and radius = 6 cm, draw an arc to intersect ray CX at A.
- Join BA to obtain the required triangle ABC.

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