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The incircle of an isosceles triangle ABC, with ABC with AB = AC touches the sides AB. Bc, and CA at D E and F respectively. Prove that E bisects BC. Mathematics CBSE class 101 AnswerConstruct an isosceles triangle whose base is 6 cm and altitude 4 cm. Then construct triangle whose sides are 3/4 times the corresponding sides of the isosceles triangle. Mathematics CBSE class 10 20151 AnswerA circle touches all the four sides of a quadrilateral ABCD. Prove that AB + CD = BC + DA Mathematics CBSE class 10 20171 AnswerIn an isosceles triangle PQR, PQ = QR and PR 2 = 2 PQ 2 . Prove that ∠ Q is a right angle CBSE Mathematics1 AnswerProve that the points (3, 0), (6, 4) and (−1, 3) ar e the vertices of a right angled isosceles triangle. CBSE Mathematics1 AnswerIf two sides of one triangle are equal to two sides of another triangle and the contained angles are supplementary, show that the two sides are equal in area. CBSE class 9 Mathematics1 AnswerConstruct a triangle ABC with BC = 7 cm, angle B = 60 degree and Ab = 6 cm. Construct another triangle whose sides are 3/4 times the corresponding sides of triangle ABC. Mathematics CBSE class 10 20151 AnswerConstruct a triangle ABC with side BC = 7 cm, ∠B = 45°, ∠A = 105°. Then construct another triangle whose sides are 3 / 4 times the corresponding sides of the triangle ABC. Mathematics CBSE class 10 20171 AnswerIn a triangle, if the square of one side is equal to the sum of the squares of the other two sides, then prove that the angle opposite the first side is a right angle. CBSE Mathematics1 AnswerFind the area of the triangle ABC with A(1,-4) and mid points of sides through A being (2,-1) and (0,-1). Mathematics CBSE class 10 20151 AnswerFind the area of the triangle PQR with Q(3,2) and the midpoints of the sides through Q being (2,-1) and (1,2). Mathematics CBSE class 10 20151 AnswerProve that the points (2, −2), (−2, 1) and (5, 2) a re the vertices of a right angled triangle. Also find the area of this triangle. CBSE Mathematics1 AnswerDraw a triangle ABC with side BC = 6 cm, AB = 5 cm and ∠ABC = 60o. Then construct a triangle whose sides are 3/4 of the corresponding sides of the triangle ABC. 1 AnswerFind the area of an isoscles triangle with two equal sides as 5 cm each and the third side as 8 cm. CBSE class 9 Mathematics1 AnswerThe radius of the circle (in cm) is:Mathematics CBSE class 10 20131 AnswerIn Fig., a quadrilateral ABCD is drawn to circumscribe a circle, with centre O, in such a way that the sides AB, BC, CD and DA touch the circle at the points P, Q, R and S respectively. Prove that AB + CD = BC + DA. Mathematics CBSE class 10 20161 AnswerProve that the area of a triangle with vertices (t, t −2), (t + 2, t + 2) and (t + 3, t) is independent of t. CBSE Mathematics1 AnswerAB and CD are parallel sides of trapezium ABCD. Diagonals AC and BD intersect at O. prove that ar(ΔAOD) = ar(ΔBOC). CBSE class 9 Mathematics1 AnswerProve that the ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides. CBSE Mathematics1 AnswerSay True or False: (a) Each angle of a rectangle is a right angle. (b) The opposite sides of a rectangle are equal in length. (c) The diagonals of a square are perpendicular to one another. (d) All the sides of a rhombus are of equal length (e) All the sides of a parallelogram are of equal length. (f) The opposite sides of a trapezium are parallel-Mathematics-cbse std 6th-Understanding elementary shapes.1 Answer