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प्रश्न
Sketch and describe the locus of the vertices of all triangles with a given base and a given altitude.
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उत्तर
Steps of construction:
Draw a line XY parallel to the base BC from the vertex A.
This line is the locus of vertex A. All the triangles which have the base BC and length of altitude equal to AD.
संबंधित प्रश्न
Construct a right angled triangle PQR, in which ∠Q = 90°, hypotenuse PR = 8 cm and QR = 4.5 cm. Draw bisector of angle PQR and let it meets PR at point T. Prove that T is equidistant from PQ and QR.
The bisectors of ∠B and ∠C of a quadrilateral ABCD intersect each other at point P. Show that P is equidistant from the opposite sides AB and CD.
Describe the locus of the moving end of the minute hand of a clock.
Describe the locus of points at distances less than 3 cm from a given point.
Describe the locus of points at distances greater than or equal to 35 mm from a given point.
In the given figure, obtain all the points equidistant from lines m and n; and 2.5 cm from O.
By actual drawing obtain the points equidistant from lines m and n; and 6 cm from a point P, where P is 2 cm above m, m is parallel to n and m is 6 cm above n.
Draw a triangle ABC in which AB = 6 cm, BC = 4.5 cm and AC = 5 cm. Draw and label:
- the locus of the centres of all circles which touch AB and AC,
- the locus of the centres of all the circles of radius 2 cm which touch AB.
Hence, construct the circle of radius 2 cm which touches AB and AC .
In a quadrilateral ABCD, if the perpendicular bisectors of AB and AD meet at P, then prove that BP = DP.
Find the locus of the centre of a circle of radius r touching externally a circle of radius R.
