Construct an isosceles triangle ABC having base BC=6 cm and the altitude AD=4 cm. Also, construct a parallelogram CDEF equal in area to △ABC and having one angle CDE=45°.
In the given figure, AD//BC. If the areas of the triangle ABE and Triangle ACF are equal, then prove that EF//AC.
Verify experimentally that the opposite angles of a cyclic quadrilateral are supplementary.
Construct a quadrilateral having AB = 4.5cm, Bc = 5.5cm, CD=5.7cm, DA=4.9cm and diagonal BD=5.9cm. Also construct a triangle DAE whose area is equal to given quarilateral.
Prove that the angle inscribed in a semi-circle is a right angle.
In the given figure, RT is a tangent and R is the point of contact. If QRT = 70° and PRT = 30°, find the measure of RPQ.
In the figure, PQRS is a rectangle in which PQ=3 PS=12cm. RS is extended up to the point M. What is the area of triangle PQM? Find it.
What is the relation between the areas of a parallelogram and a triangle standing on the same base and between the same parallel lines?
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