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Triangles || 17.04.2021

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Question 1

In the following figure, BEC=100°, BAF=40° and OA=OC; Calculate ACE.

Question 2

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.

Question 3

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?

Question 4

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?

Question 5

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?

Question 6

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

Question 7

PQR is an equilateral triangle whose side is 10 cm. What is the value (in cm) of the inradius of triangle PQR?

Question 8

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)?

Question 9

An equilateral triangle ABC having its centroid as G as shown in figure. If AB = 12 cm, then find the length of AG?

Question 10

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