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Question 1
The ratio of base angle and vertical angle of an isosceles triangle (whose base angles are equal) is 2:5. Find the vertical angle.
Question 2
In the given figure, BP = DE = 8 cm and 
What is the length of AC?
Question 3
In the diagram, M is the midpoint of YZ, ∠XMZ = 32°, and ∠XYZ = 16°. The measure of ∠XZY is:
Question 4
In a ΔABC, the bisector of ∠B intersect side AC at D. If AB = 7 cm, BC = 8 cm and AC = 12 cm, then find the length of AD.
Question 5
In ΔABC, AB = AC. If ∠A is twice the sum of other two angles of the triangle then the measure of 
is:
is:Question 6
In Δ PQR, S and T are mid-points of PQ and PR, respectively. If ∠QPR = 75° and ∠PRQ = 40°, then ∠TSQ is:
Question 7
In ∆ABC, ∠A = 58° and O is the orthocentre of the triangle (BO and CO meet AC and AB at E and F respectively when produced). If the bisectors of ∠OBC and ∠OCB meet at P, then the measure of ∠BPC is:
Question 8
ΔABC and ΔPQR are similar to each other. If perimeter of ΔABC = 60 cm and perimeter of ΔPQR = 82 cm. If l(AB) = 8 cm, find the l(PQ) = ?
Question 9
Internal bisectors of angles 
and 
of a triangle ABC meet at O. If 
, then the value of 
is
and of a triangle ABC meet at O. If , then the value of is Question 10
In ∆ABC ∠A = 90o, M is the midpoint of BC and D is a point on BC such that AD ⊥ BC. If AB = 7 cm and AC = 24 cm, then AD : AM is equal to :
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Sep 27SSC & Railway
