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Asked: December 28, 2020In: Class 10 Maths

Diagonals of a trapezium ABCD with AB || DC intersect each other at the point O. If AB = 2 CD, find the ratio of the areas of triangles AOB and COD.

NCERT Solutions for Class 10 Maths Chapter 6 Important NCERT Questions Triangles NCERT Books for Session 2022-2023 CBSE Board and UP Board Others state Board EXERCISE 6.4 Page No:143 Questions No:2

Anant

Asked: December 27, 2020In: Class 10 Maths

ABC is an isosceles triangle right angled at C. Prove that AB² = 2AC².

NCERT Solutions for Class 10 Maths Chapter 6 Important NCERT Questions Triangles NCERT Books for Session 2022-2023 CBSE Board and UP Board Others state Board EXERCISE 6.5 Page No:150 Questions No:4

Akanksh Singh

Asked: December 27, 2020In: Class 10 Maths

D, E and F are respectively the mid-points of sides AB, BC and CA of Triangles ABC. Find the ratio of the areas of Triangles DEF and Triangles ABC.

NCERT Solutions for Class 10 Maths Chapter 6 Important NCERT Questions Triangles NCERT Books for Session 2022-2023 CBSE Board and UP Board Others state Board EXERCISE 6.4 Page No:144 Questions No:5

Aadiv Singh

Asked: December 27, 2020In: Class 10 Maths

Prove that a line drawn through the mid-point of one side of a triangle parallel to another side bisects the third side. (Recall that you have proved it in Class IX).

NCERT Solutions for Class 10 Maths Chapter 6 Important NCERT Questions Triangles NCERT Books for Session 2022-2023 CBSE Board and UP Board Others state Board EXERCISE 6.2 Page No:129 Questions No:7

Ayaan Khan

Asked: December 26, 2020In: Class 10 Maths

D and E are points on the sides CA and CB respectively of a triangle ABC right angled at C. Prove that AE² + BD² = AB²+ DE².

NCERT Solutions for Class 10 Maths Chapter 6 Important NCERT Questions Triangles NCERT Books for Session 2022-2023 CBSE Board and UP Board Others state Board EXERCISE 6.5 Page No:151 Questions No:13

Anant

Asked: December 26, 2020In: Class 10 Maths

ABC is an equilateral triangle of side 2a. Find each of its altitudes.

NCERT Solutions for Class 10 Maths Chapter 6 Important NCERT Questions Triangles NCERT Books for Session 2022-2023 CBSE Board and UP Board Others state Board EXERCISE 6.5 Page No:150 Questions No:6

Akanksh Singh

Asked: December 26, 2020In: Class 10 Maths

If the areas of two similar triangles are equal, prove that they are congruent.

NCERT Solutions for Class 10 Maths Chapter 6 Important NCERT Questions Triangles NCERT Books for Session 2022-2023 CBSE Board and UP Board Others state Board EXERCISE 6.4 Page No:144 Questions No:4

Aadiv Singh

Asked: December 26, 2020In: Class 10 Maths

If AD and PM are medians of triangles ABC and PQR, respectively where triangle ABC ~ triangle PQR, prove that AB/PQ=AD/PM

NCERT Solutions for Class 10 Maths Chapter 6 Important NCERT Questions Triangles NCERT Books for Session 2022-2023 CBSE Board and UP Board Others state Board EXERCISE 6.3 Page No:141 Questions No:16

Aadiv Singh

Asked: December 24, 2020In: Class 10 Maths

Diagonals AC and BD of a trapezium ABCD with AB || DC intersect each other at the point O. Using a similarity criterion for two triangles, show that OA/OC=OB/OD.

NCERT Solutions for Class 10 Maths Chapter 6 Important NCERT Questions Triangles NCERT Books for Session 2022-2023 CBSE Board and UP Board Others state Board EXERCISE 6.3 Page No:139 Questions No:3

Ayaan Khan

Asked: December 24, 2020In: Class 10 Maths

In an equilateral triangle ABC, D is a point on side BC such that BD = 1/3 BC. Prove that 9 AD²=7 AB²

NCERT Solutions for Class 10 Maths Chapter 6 Important NCERT Questions Triangles NCERT Books for Session 2022-2023 CBSE Board and UP Board Others state Board EXERCISE 6.5 Page No:151 Questions No:15

Diagonals of a trapezium ABCD with AB || DC intersect each other at the point O. If AB = 2 CD, find the ratio of the areas of triangles AOB and COD.

ABC is an isosceles triangle right angled at C. Prove that AB² = 2AC².

D, E and F are respectively the mid-points of sides AB, BC and CA of Triangles ABC. Find the ratio of the areas of Triangles DEF and Triangles ABC.

Prove that a line drawn through the mid-point of one side of a triangle parallel to another side bisects the third side. (Recall that you have proved it in Class IX).

D and E are points on the sides CA and CB respectively of a triangle ABC right angled at C. Prove that AE² + BD² = AB²+ DE².

ABC is an equilateral triangle of side 2a. Find each of its altitudes.

If the areas of two similar triangles are equal, prove that they are congruent.

If AD and PM are medians of triangles ABC and PQR, respectively where triangle ABC ~ triangle PQR, prove that AB/PQ=AD/PM

Diagonals AC and BD of a trapezium ABCD with AB || DC intersect each other at the point O. Using a similarity criterion for two triangles, show that OA/OC=OB/OD.

In an equilateral triangle ABC, D is a point on side BC such that BD = 1/3 BC. Prove that 9 AD²=7 AB²

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