![]() Question:If ABC and DEF are similar triangles such that ∠A = 47° and ∠E = 63°, then the measures of ∠C = 70°. Question:Let ∆ABC ~ ∆DEF and their areas be respectively 64 cm 2 and 121 cm 2. Question:ABC is an isosceles triangle right-angled at C. ⇒ AB 2 = 2AC 2 Extra Questions for Class 10 Maths Chapter 6 Short Answer Type Question:Sides of triangle are given below. Determine which of them are right triangles. In case of a right triangle, write the length of its hypotenuse. (i) Let a = 7 cm, b = 24 cm and c = 25 cm. Hence, c is the hypotenuse of right triangle. So, the triangle is not a right triangle. Question:If triangle ABC is similar to triangle DEF such that 2AB = DE and BC = 8 cm. Question:In an isosceles ∆ABC, if AC = BC and AB 2 = 2AC 2, then find ∠C. Hence AB is the hypotenuse and ∆ABC is a right angle A. The length of the diagonals of a rhombus are 16 cm and 12 cm. Find the length of side of the rhombus.Īnswer:∵ The diagonals of rhombus bisect each other at 90°. Question:A man goes 24 m towards West and then 10 m towards North. ∴ The man is 26 m away from the starting point. If the perimeter of ∆DEF is 25 cm, what is the perimeter of ∆ABC? Question:∆ABC ~ ∆DEF such that AB = 9.1 cm and DE = 6.5 cm. Question:∆ABC ~ ∆PQR if area of ∆ABC = 81 cm 2, area of ∆PQR = 169 cm 2 and AC = 7.2 cm, find the length of PR. ![]() Question:E and F are points on the sides PQ and PR respectively of a ∆PQR. ![]() ![]() Question:A vertical pole of length 6 m casts a shadow 4 m long on the ground and at the same time a tower casts a shadow 28 m long. Let AB be a vertical pole of length 6m and BC be its shadow and DE be tower and EF be its shadow. State which pairs of triangles in the following figures are similar. Extra Questions for Class 10 Maths Chapter 6 Long Answer Type Write the similarity criterion used by you for answering the question and also write the pairs of similar triangles in the symbolic form. If ∆AED is similar to ΔBEC, prove that AD = BC. Question:Prove that the area of an equilateral triangle described on a side of a right-angled isosceles triangle is half the area of the equilateral triangle described on its hypotenuse. Given: A ∆ABC in which ∠ABC = 90° and AB = BC.Įach of the ABD and ∆CAE being equilateral has each angle equal to 60°.īut, the ratio of the areas of two similar triangles is equal to the ratio of the squares of their corresponding sides. Question:If the areas of two similar triangles are equal, prove that they are congruent. ![]()
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