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In the following figure, ∠BEC=100°, ∠BAF=40° and OA=OC; Calculate ∠ACE.
The mid points of an equilateral triangle are joined to form a triangle and the process is repeated two more times. Find the sum of the perimeters of all the triangles if the perimeter of the largest triangle is 36 cm.
In a ΔABC, P, Q & R are three points on side BC, such that BP = 3x, QR = 2x, PQ = 4x and RC = 5x. If G is centroid then, find the ratio of area of ΔPGR to area of ΔABC?
If 'A' is the area of a right angled triangle and 'b' is one of the sides containing the right angle then what is the length of the altitude on the hypotenuse?
In a triangle ABC, AD is angle bisector of ∠BAC which meets BC at point D. The ratio of sides AB and AC is 4:5. If length of side BC is 18 cm, find the length of BD?
ΔABC is a right angled triangle, in which ∠B =90° and AC is hypotenuse. D is its circumcentre and AB = 3 cm, BC = 4cm. The value of BD is
PQR is an equilateral triangle whose side is 10 cm. What is the value (in cm) of the inradius of triangle PQR?
In the given figure, ΔABC is a right angled triangle and ∠ACB = 60°. If MX = r, NY = 6 cm and OZ = R, then find the value of (R−r)?
An equilateral triangle ABC having its centroid as G as shown in figure. If AB = 12 cm, then find the length of AG?
If the lengths of the sides of a triangle are in the ratio 4 : 5 : 6 and the inradius of the triangle is 3 cm, then the altitude of the triangle corresponding to the largest side as base is :
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Apr 17SSC & Railway