Previous Year Mathematics Questions of Class 10 Chapter {Triangles} for CBSE Examination 2023
One mark Questions
1) In △ABC, AB = 6√3 cm and AC = 12 cm and BC = 6 cm, then angle B is …… (CBSE 2020)
2) Two triangles are similar if their corresponding sides are ………… (CBSE 2020)
3) Two similar triangles ABC and PQR have their areas 25 cm2 and 49 cm2 respectively. If QR = 9.8 cm , find BC. (CBSE 2020)
4) The corresponding sides of two similar triangles are in the ratio 3 : 4, then the ratios of the area of triangles is …… (CBSE 2020)
5) In a △PQR, S and T are points on the sides PQ and PR respectively, such that ST parallel QR. If PT = 2 cm and TR = 4 cm, Find the ratio of the areas of △PST and △ PQR. (CBSE 2020)
6) In △ ABC is an isosceles triangle right angled at C with AC = 4 cm. Find the length of AB. (CBSE 2019)
7) In △ ABC, DE parallel BC. Find the length of the side AD, given that AE = 1.8 cm, BD = 7.2 cm and CE = 5.4 cm. (CBSE 2019)
8) Given △ABC ~ △ PQR, if AB/PQ = 1/ 3, then find Ar.△ ABC / Ar. △ PQR . (CBSE 2018)
Two mark Questions
1) In △ ABC. if AD ┴ BC, then
prove that AB2 + CD2 = BD2 + AC2 (CBSE 2020)
Three mark Questions
1) In a rectangle ABCD, P is any interior point. Then prove that PA2 + PC2 = PB2 + PD2 (CBSE 2020)
2) Two right triangles ABC and DBC are drawn on the same hypotenuse BC and on the same side of BC. If AC and BD intersect at P, prove that AP x PC = BP x DP (CBSE 2019)
3) Diagonals of a trapezium PQRS intersect each other at the point O, PQ parallel RS and PQ = 3 RS. Find the ratio of the areas of triangles POQ and ROS. (CBSE 2019)
4) Prove that the area of an equilateral triangle describe on one side of the square is equal to half the area of the equilateral triangle describe on one of its diagonal. (CBSE 2018)
5) If the area of two similar triangles are equal, prove that they are congruent. (CBSE 2018)
Four mark Questions
1) Prove that the ratio of the areas of two similar triangles is equal to the ratio of the squares of their corresponding sides. (CBSE 2020)
2) If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, then prove that the other two sides are divided in the same ratio. (CBSE 2019)
3) In a triangle, If square of one side is equal to sum of squares of the other two sides, then prove that the angle opposite the first side is a right angle. (CBSE 2019)
4) In an equilateral △ABC, D is a point on side BC such that BD = 1/3 BC. Prove that 9(AD)2 = 7(AB)2. (CBSE 2018)
5) Prove that in a right triangle, the square on the hypotenuse is equal to the sum of the squares on the other two sides.
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