Chapter 6 – Triangles

An aeroplane leaves an airport and flies due north at a speed of 1000 km per hour. At the same time, another aeroplane leaves the same airport and flies due west at a speed of 1200 km per hour. How far apart will be the two planes after 1 2/1 hours? An aeroplane leaves an [...]

A guy wire attached to a vertical pole of height 18 m is 24 m long and has a stake attached to the other end. How far from the base of the pole should the stake be driven so that the wire will be taut ? 12 cm 5 cm​ Sides of triangles are given [...]

A ladder 10m long reaches a window 8m above the ground. Find the distance of the foot of the ladder from the base of the wall. A ladder 10m long reaches a window 8m above the ground. Find the distance of the foot of the ladder from the base of the wall. October 5, 2020 [...]

In given figure from a point O in the interior of a △ABC, perpendiculars OD, OE and OF are drawn to the sides BC, CA and AB respectively. Show that : (i) AF^2 + BD^2 + CE^2 = OA^2 + OB^2 + OC^2 − OD^2 − OE^2 − OF^2 (ii) AF^2 + BD^2 + CE^2 [...]

Prove that the sum of squares of the sides of a rhombus is equal to the sum of the squares of its diagonals. Prove that the sum of squares of the sides of a rhombus is equal to the sum of the squares of its diagonals. October 5, 2020 Category: Chapter 6 - Triangles , [...]

ABC is an equilateral triangle of side 2a. Find each of its altitudes. ABC is an equilateral triangle of side 2a. Find each of its altitudes. October 5, 2020 Category: Chapter 6 - Triangles , Maths , NCERT Class 10 ,

ABC is an isosceles triangle with AC=BC. If AB^2 = 2AC^2, prove that ABC is a right triangle. ABC is an isosceles triangle with AC=BC. If AB^2 = 2AC^2 prove that ABC is a right triangle. October 5, 2020 Category: Chapter 6 - Triangles , Maths , NCERT Class 10 ,

In figure, ABD is a triangle right angled at A and AC ⊥ BD. Show that (i) AB^2 = BC × BD (ii) AC^2 = BC × DC (iii) AD^2 = BD × CD ABD is a triangle right angled at A and AC ⊥ BD. Show that (i) AB^2 = BC × BD (ii) [...]

PQR is a triangle right angled at P and M is a point on QR such that PM ⊥ QR. Show that PM^2 = QM . MR. PQR is a triangle right angled at P and M is a point on QR such that PM ⊥ QR. Show that PM^2 = QM . MR. October [...]

Sides of triangles are given below. Determine which of them are right triangles. In case of a right triangle, write the length of its hypotenuse. 13 cm, 12 cm, 5 cm​ 12 cm 5 cm​ Sides of triangles are given below. Determine which of them are right triangles. In case of a right triangle write [...]