Construct a triangle PQR in which QR = 6cm, ∠Q = 60° and PR-PQ = 2cm. P Procedure 1. Draw a line segment of base QR = 6 cm 2. Measure and draw ∠Q = 60° and let the ray be QX 3. Using a compass... View Article
Simplify and solve the following linear equation: 3(t – 3) = 5(2t + 1) 3(t – 3) = 5(2t + 1) => 3t – 9 = 10t + 5 Rearranging the equation and combining like terms we get => 3t – 10t = 5 + 9... View Article
Find the length of the side of a square whose area is 441 m2. Solution Let the side of square be x m. Area of square = x2 According to the given details, the equation becomes x2 = 441 x =... View Article
Solve the following equation and check your results: 3x = 2x + 18 Solution 3x – 2x =18 Rearranging the terms we get X = 18 Verification We will substitute the value of x in the given... View Article
The diagonals of a rhombus are 7.5 cm and 12 cm. Find its area. Given d1 = 7.5 cm and d2 = 12 cm Formula We know that, Area of the rhombus = (½) × d1 × d2 = (½) × 7.5... View Article
Solve the following equation and check your results: 3m = 5m – 8/5 Solution 3m = 25m -8/5 15m = 25m – 8 Rearranging and combining the like terms 15m – 25m = -8 -10m = -8 m = 8/10 or m = 4/5... View Article
Solve the following equation and check your results: 2x – 1 = 14 – x Solution 2x – 1 + x = 14 Rearranging and combining the like terms 2x + x = 14 + 1 3x = 15 x = 5 Verification... View Article
Solve the following equation and check your results: 4z + 3 = 6 + 2z Solution 4z +3 – 2z =6 Rearranging and combining the like terms 4z – 2z = 6 – 3 2z = 3 z = 3/2 Verification... View Article
Solve the following equation and check your results: 5x + 9 = 5 + 3x Solution 5x + 9 – 3x = 5 Rearranging the like terms we get 5x – 3x = 5 – 9 2x = -4 x = -2 Verification ... View Article
Solve the following equation and check your results: 5t – 3 = 3t – 5 Solution 5t – 3 – 3t = -5 Rearranging the like terms we get 5t – 3t = -5 + 3 2t = -2 t = -1 ... View Article
Construct a triangle ABC in which BC = 7cm, ∠B = 75° and AB + AC = 13 cm. Construction Procedure for the given parameters 1. Draw a line segment of base BC = 7 cm 2. Measure and draw ∠B = 75° and extend... View Article
Find the square roots of 529 by the Prime Factorisation Method. Solution We have to find the square root of 529 by the prime factorisation method 529 = 23 × 23 × 1 529 = (23)2... View Article
Find the square roots of 400 by the Prime Factorisation Method. Solution We have to find the square root of 400 by prime factorisation method 400 = 1 × 5 × 5 × 2 × 2 × 2... View Article
Find the square roots of 729 by the Prime Factorisation Method. Solution We have to find the square root of 729 by prime factorisation method 729 = 1 × 3 × 3 × 3 × 3 × 3... View Article
Solve the following equation and check your results: x = 4/5 (x + 10) Solution 5x = 4 (x + 10) Rearranging and combining the like terms 5x = 4x + 40 5x – 4x = 40 x = 40 Verification... View Article
Construct a triangle ABC in which BC = 8cm, ∠B = 45° and AB-AC = 3.5 cm. Procedure 1. Draw a line segment of base BC = 8 cm 2. Measure and draw ∠B = 45° and extend the ray BX 3. Using a compass... View Article
Construct a triangle XYZ in which ∠Y = 30°, ∠Z = 90° and XY + YZ + ZX = 11 cm. 1. Draw a line segment AB which is equal to XY+YZ+ZX = 11 cm. 2. Make an angle ∠Y = 30° from point A and the angle be∠LAB 3. Make... View Article
The centre of a circle lies in ____________ of the circle. (exterior/ interior) The centre of a circle lies in interior of the circle. Circle A circle is a closed two-dimensional figure in which the set of all the... View Article
Find the square roots of 8100 by the Prime Factorisation Method. Solution We have to find the square root of 8100 by the prime factorisation method 8100 = 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 1 8100 = (2 × 2) ×... View Article
Find the square roots of 9216 by the Prime Factorisation Method. Solution We have to find the square root of 9216 by the prime factorisation method 9216 = 2 × 2 × 2 × 2 × 2 ×... View Article
