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UP Board Class 10 Triangles — practice questions

31 free MCQs with worked solutions. Tap any question for the answer + explanation, or practice them all in the app.

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Two figures are said to be similar if they haveAll circles areAll squares with different side lengths areThe criterion that uses two pairs of equal angles to prove triangle similarity is calledIn two similar triangles, the ratio of corresponding sides is calledPythagoras theorem applies to which triangles?In triangle ABC, DE is parallel to BC where D lies on AB and E on AC. If AD = 2 cm, DB = 3 cm and AE = 4 cm, tTwo triangles have areas in the ratio 49 : 64. The ratio of their corresponding sides isA vertical pole 6 m tall casts a shadow 4 m long at the same time a tower casts a shadow 28 m long. The heightIn a right triangle the legs measure 9 cm and 12 cm. The hypotenuse isIf two triangles are similar and the ratio of their perimeters is 3 : 5, then the ratio of their areas isIn triangle ABC, AD bisects angle A and meets BC at D. If AB = 6 cm, AC = 9 cm and BC = 10 cm, then BD equalsD and E are points on sides AB and AC of triangle ABC such that DE is parallel to BC. If AD/AB = 1/4, the ratiThe hypotenuse of a right triangle is 26 cm and one leg is 24 cm. The other leg isThe altitude AD of an equilateral triangle ABC of side length a isIn triangle PQR, S and T are points on PQ and PR respectively. ST is parallel to QR. If PS = 3, SQ = 6 and PT A 5 m long ladder leans against a wall with its foot 3 m from the wall. The height it reaches up the wall isThe diagonals of a rhombus are 16 cm and 30 cm. The length of each side isIn two similar triangles the ratio of medians is 3 : 5. The ratio of corresponding sides isIn triangle ABC right-angled at B, BD is perpendicular to AC. If AB = 5 cm and BC = 12 cm, then BD equalsD, E, F are midpoints of sides BC, CA, AB of triangle ABC. The ratio of areas of triangle DEF and triangle ABCIn a right triangle with legs a and b, the altitude h drawn to the hypotenuse c satisfiesIn triangle ABC, points P and Q are on AB and AC such that PQ is parallel to BC. If AP = x, PB = 6, AQ = 4, QCIn an isosceles triangle ABC with AB = AC = 13 cm and BC = 10 cm, the altitude from A to BC isTwo similar triangles have areas 81 sq cm and 144 sq cm. The ratio of their corresponding altitudes isIn triangle ABC, AD is perpendicular to BC. Given AB = 7 cm, AC = 25 cm, BD = 5 cm, the value of CD isThe sides of a triangle are in the ratio 3 : 4 : 5 and its perimeter is 60 cm. The area of the triangle isABC is an equilateral triangle of side 2a. The length of its altitude isIn a quadrilateral ABCD where AB is parallel to CD and the diagonals AC and BD intersect at O, the ratio AO : Triangles ABC and DEF are similar with AB = 4 cm, BC = 5 cm, CA = 6 cm and EF = 7.5 cm. The perimeter of trianIn triangle ABC, AB squared + BC squared = AC squared and AB = BC. The angles of the triangle are