If angle bisector of a triangle bisects the opposite side, then what type of triangle is it?
A. Right angled
B. Equilateral
C. Isosceles and equilateral
D. Isosceles
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If the sides of a right angled triangle are three consecutive integers, then the length of the smallest side is
A. 3 units
B. 2 units
C. 4 units
D. 5 units
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In a triangle ABC, BC is produced to D so that CD = AC. If ∠BAD = 111° and ∠ACB = 80°, then the measure of ∠ABC is:
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In a ΔABC, AB = BC, ∠B = x° and ∠A = (2x - 20)°, Then ∠B is :
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If two angles of a triangle are 21° and 38°, then the triangle is :
A. Right-angled triangle
B. Acute-angled triangle
C. Obtuse-angled triangle
D. Isosceles triangle
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In ΔPQR, S and T are point on sides PR and PQ respectively such that ∠PQR = ∠PST, If PT = 5 cm, PS = 3 cm and TQ = 3 cm, then length of SR is
A. 5 cm
B. 6 cm
C. 3 31 cm
D. 3 41 cm
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In a ΔABC, AB = AC and BA is produced to D such that AC = AD. Then the ∠BCD is :
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In ΔABC, two points D and E are taken on the lines AB and BC respectively in such a way that AC is parallel to DE. Then ΔABC and ΔDBE are :
A. Similar only if D lies outside the line segment AB
B. Congruent only If D lies out side the line segment AB
C. Always similar
D. Always congruent
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If ABC is an equilateral triangle and P, Q, R respectively denote the middle points of AB, BC, CA then
A. PQR must be an equilateral triangle
B. PQ + QR = PQR + AB
C. PQ + QR = PR + 2AB
D. PQR must be a right angled
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In ΔABC, ∠A + ∠B = 65°, ∠B + ∠C = 140°, then find ∠B.
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If the measures of the sides of triangle are (x2 - 1), (x2 + 1) and 2x cm, then the triangle would be :
A. Equilateral
B. Acute-angled
C. Right-Angled
D. Isosceles
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In ΔABC, ∠C is an obtuse angle. The bisectors of the exterior angles at A and B meet BC and AC produced at D and E respectively. If AB = AD = BE, then ∠ACB = ?
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Let ABC be an equilateral triangle and AX, BY, CZ be the altitude. Then the right statement out of the four give responses is :
A. AX = BY = CZ
B. AX ≠ BY = CZ
C. AX = BY ≠ CZ
D. AX ≠ BY ≠ CZ
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In ΔABC, DE || AC, D and E are two points on AB and CB respectively. If AB = 10 cm and AD = 4 cm, then BE : CE is
A. 2 : 3
B. 2 : 5
C. 5 : 2
D. 3 : 2
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If the three angles of a triangle are: ( x + 15 ) ∘ , ( 5 6 x + 6 ) ∘ and ( 3 2 x + 30 ) ∘ then the triangle is:
A. Isosceles
B. Equilateral
C. Right angled
D. Scalene
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If in a triangle ABC, D and E are on the sides AB and AC, such that, DE is parallel to BC and B D A D = 5 3 . If AC = 4 cm, then AE is
A. 1.5 cm
B. 2.0 cm
C. 1.8 cm
D. 2.4 cm
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In a ΔABC, ∠A + ∠B = 118°, ∠A + ∠C = 96°. Find the value of ∠A.
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For a triangle ABC, D and E are two points on AB and AC such that AD = 4 1 AB, AE = 4 1 AC. If BC = 12 cm, then DE is :
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In triangle ABC a straight line parallel to BC intersects AB and AC at D and E respectively. If AB = 2AD, then DE : BC is
A. 2 : 3
B. 2 : 1
C. 1 : 2
D. 1 : 3
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ABC is a triangle and the sides AB, BC and CA are produced to E, F and G respectively. If ∠CBE = ∠ACF = 130°, then the value of ∠GAB is :
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