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

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Textbook | NCERT |

Board | CBSE |

Category | NCERT Solutions |

Class | Class 7 |

Subject | Maths |

Chapter | Chapter 10 |

Chapter Name | Practical Geometry Ex 10.5 |

Number of Questions Solved | 3 |

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

**NCERT TEXTBOOK EXERCISES**

**Question 1. Construct the right-angled ∆ PQR where m ∠Q = 90°, QR = 8 cm and PR = 10 cm.**

**Solution:**

**Steps of Construction:**

- Draw QR of length 8 cm.
- At Q, draw QX ⊥ QR.
- With R as centre, draw an arc of radius 10 cm.
- Mark the meeting point of these two as P.

∆ PQR is now obtained.

**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 QR of length 4 cm.
- At Q, draw QX ⊥ QR.
- With R as centre, draw an arc of radius 6 cm.
- Mark the meeting point of arc and QX as P.

∆ PQR is now obtained.

**Question 3. Construct an isosceles right-angled triangle ABC where m ∠ACB = 90° and AC = 6 cm.**

**Solution:**

**Steps of Construction**

- Draw AC of length 6 cm.
- At C, draw CX ⊥ CA.
- With C as centre, draw an arc of radius 6 cm to intersect CX at B.
- Join AB. ∆ACB is now obtained.

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

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