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SSC: Triangles: 03.01.2017

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Question 1

Triangle PQR inscribes a circle with centre O. PQR = . If PQ = 3 cm, QR = 4 cm, then the value of radius (r) is :

Question 2

If ABC is a triangle, right angled at B and M, N are mid-points of AB and BC respectively, then what is the value of 4(AN2 + CM2)?

Question 3

In an equilateral triangle of side 24 cm, a circle is inscribed touching its sides. The area of the remaining portion of the triangle is approximately equal to (assuming π = 22/7 & √3 = 1.732):

Question 4

In Δ PQR, sides PQ and PR are extended to points S and T. The bisectors of SQR and ∠TRQ meet at a point O. Find QOR

Question 5

In ΔABC, ∠BAC = 90° and AD ⊥ BC. If BD = 3 cm and CD = 4 cm, then the length of AD is:

Question 6

The centroid of a ABC is G. The area of ABC is 60 cm2. The area of GBC is

Question 7

The height of the right pyramid whose area of the base is 30m2 and volume is 500 m3, is

Question 8

The median BD of the ΔABC meets AC at D. If then which one of the following is correct?

Question 9

The area of an isosceles triangle is 4 square unit. If the length of the third side is 2 unit, the length of each equal side is

Question 10

A right angled isosceles triangle is inscribed in a semi-circle of radius 7 cm. The area enclosed by the semi-circle but exterior to the triangle is
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