In this chapter, we provide RD Sharma Class 10 Ex 4.4 Solutions Chapter 4 Triangles for English medium students, Which will very helpful for every student in their exams. Students can download the latest RD Sharma Class 10 Ex 4.4 Solutions Chapter 4 Triangles pdf, Now you will get step by step solution to each question.

Textbook | NCERT |

Class | Class 10 |

Subject | Maths |

Chapter | Chapter 4 |

Chapter Name | Triangles |

Exercise | 4.4 |

Category | RD Sharma Solutions |

**RD Sharma Solutions for Class 10 Chapter** **4** **Triangles Variables Ex 4.4 Download PDF**

**Chapter 4: Triangles Exercise – 4.4**

**Question: 1**

(i) In fig. if AB∥CD, find the value of x.

(ii) In fig. if AB∥CD, find the value of x.

(iii) In fig. if AB∥CD .and OA = 3x – 19, OB = x – 4, OC = x- 3 and OD = 4, find x.

**Solution:**

(i) it is given that AB∥CD

We have to find the value of x.

Diagonals of the parallelogram,

As we know,

4(2x + 4) = (4x – 2)(x +1)

8x + 16 = x(4x – 2) + 1(4x – 2)

8x + 16 = 4x^{2} – 2x + 4x – 2

– 4x^{2} + 8x + 16 + 2 – 2x = 0

– 4x^{2 }+ 6x + 8 = 0

4x^{2} – 6x – 18 = 0

4x^{2} – 12x + 6x – 18 = 0

4x(x – 3) + 6(x – 3) = 0

(4x + 6) (x – 3) = 0

x = – 6/4 or x = 3

(ii) it is given that AB∥CD

We need to find the value of x.

(6x – 5)(3x – 1) = (2x + 1)(5x – 3)

3x(6x – 5) – 1(6x – 5) = 2x(5x – 3) + 1(5x – 3)

18x^{2} – 10x^{2} – 21x + 5 + x +3 = 0

8x^{2} – 16x – 4x + 8 = 0

8x(x – 2) – 4(x – 2) = 0

(8x – 4)(x – 2) = 0

x = 4/8 = 1/2 or x = -2

x= 1/2

(iii) it is given that AB∥CD

And OA = 3x – 19 OB = x – 4 OC = x – 3 and OD = 4

We need to find the value of x,

4(3x – 19) = (x – 3) (x – 4)

12x – 76 = x(x – 4) -3(x – 4)

12x – 76 = x^{2} – 4x – 3x + 12

-x^{2} + 7x – 12 + 12x -76 = 0

-x^{2 }+ 19x – 88 = 0

x^{2 }– 19x + 88 = 0

x^{2} – 11x – 8x + 88 = 0

x(x – 11) – 8(x – 11) = 0

x = 11 or x = 8

**All Chapter RD Sharma Solutions For Class10 Maths**

I think you got complete solutions for this chapter. If You have any queries regarding this chapter, please comment on the below section our subject teacher will answer you. We tried our best to give complete solutions so you got good marks in your exam.