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Draw a right triangle in which the sides other than hypotenuse are of lengths 4 cm and 3 cm. Solution: Steps of Construction: 1. Draw a ray BX making an acute angle with BC. Join B 3 C. Construction implies drawing geometrical figures accurately such that triangles, quadrilateral and circles with the help of ruler and compass.
A line segment can be divided in a given ratio both internally and externally Example: Divide a line segment 10th Ncert Construction Solutions Company of length 12 cm internally in the ratio The point P so obtained is the required point, which divides AB internally in the ratio 3 : 2.
Two tangents can be drawn to a given circle from a point outside it. Example: Draw a circle of radius 4 cm. Take a point P outside the circle. Without using the centre of the circle, draw two tangents to the circle from point P. Solution : Steps of construction : i Draw a circle of radius 4 cm. Chapter 13 - Surface Areas and Volumes.
Chapter 14 - Statistics. Chapter 15 - Probability. To divide a line segment internally in a given ratio m:n, we take the following steps:. Step 1: Draw a line segment of a given length and name it AB.
Let this line meet Ab at a point P. Then this point is the required point which divides AB. Image to be added soon. Here we construct a triangle similar to a given triangle. The constructed triangle may be smaller or larger than the given triangle.
So we define the following term:. Scale factor: Scale factor is the ratio of the sides of any figure to be constructed with the corresponding measurements of the given figure. Step 1: Construct the given ABC by using the given data. Step 5: Join A n B. We know that when a point lies inside a circle no tangent can be drawn to the circle from this point.
If a point lies on the circle at that point but if the point lies outside the circle, two agents can be drawn to the circle from the point. Step 2: Let there be a point P on the circle. Step 3: Join OP. Step 1: A chord PQ is drawn to the circle through the given point P on the circle.
We know that two tangents can be drawn to a circle from an external point. The cases may arise Step 1: Given external point P is joined to centre O of the circle. For any exam, enough practice and revision are required. Even time management and how to tackle tricky questions are very significant during the exams.
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