Question

a) Draw a triangle ABC with side BC = 6 cm, B = 30°, A = 120°. Then construct a triangle whose sides are 3/4 times the corresponding sides of ΔABC.
b) Construct a triangle with sides 4 cm, 5 cm and 6 cm and then another triangle whose sides are 8/5of the corresponding sides of the first triangle.
c) Draw a circle of radius 5 cm. From a point 12 cm away from its centre, construct the pair of tangents to the circle and measure their lengths.
2. . Circles and Area related to circles 3+3+3+3+3 Marks
a) Prove that the length of a tangent draw from an external point to a circle are equal.
b) AB is diameter and AC is a chord of a circle such that BAC = 30°. If tangent at C intersects AB produced in D, prove that BC = BD.
c) In figure APB and CQD are semicircles of diameter 7 cm each, while ARC and BSD are semicircles of diameter 14 cm each. Find the perimeter of the shaded region. [Use = 22/7 ]

d) In the given figure, find the area of the shaded region. [Use = 3.14]

e) A rectangular piece is 20 m long and 15 m wide. From its four corners, quadrants of radii 3.5 m have been cut. Find the area of the remaining part.

Answer 1

Answer:

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