similar triangles for Xth CBSE Maths

In the given figure, if ∠ADE = ∠B, show that triangle ADE ∼ Triangle ABC. If AD= 3.8cm, AE=3.6cm, BE=2.1cm and BC = 4.2cm, find DE. In the given figure, ADis the bisector of ∠BAC. AB = 12cm, AC = 8cm and BC = 14cm, find BDandDC. In triangle ABC, AD is the bisector of ∠A. If AB = 10cm, AC = 14cm and BC=6cm, find BD and DC. A vertical stick is 18cm long; it casts a shadow of 12cm, on the ground. At the same time, a vertical tower casts a 50m long shadow on the ground. Find height of the tower. The perimeters of two similar triangles are 36cmand9cmrespectively. If one side of the first triangle is 12cm, find the corresponding side of the second triangle. The areas of two similar triangles triangle ABC and triangle PQR are 81cm2 and 36cm2 respectively. If the altitude of the bigger triangle is 4.5cm, find the corresponding altitude of the smaller triangle. In a triangle ABC, AD is perpendicular to BC. Prove that In the given figure, ABC is a triangle in which AB = AC. If D and E are points on AB and AC respectively such that AD = AE, show that the points B; C; E and D are concyclic. In the given figure, ∠ACB = 90 & CD perpendicular to AB. Prove that CD 2 = BD.AD. In an isosceles triangle ABC, the base AB is produced both ways in P and Q such that AP×BQ = AC2. Prove that triangle ACP∼ triangle BCQ. In a triangle ABC, which is right angled at A, BL and CM are medians of the triangle. Prove that 4(BL2+CM2)=5BC2 In triangle ABC, ∠C = 90 and D is the mid-point of BC. Prove that If in isosceles triangle ABC, AB = AC = 2a, BC = a units, find the length of altitude AD. SIMILAR TRIANGLES – SLIP TEST