Practice MCQ Questions and Answer on Triangles
71.
If the incentre of an equilateral triangle lies inside the triangle and its radius in 3 cm, then the side of the equilateral triangle is
- (A) 9$$\sqrt 3 $$ cm
- (B) 6$$\sqrt 3 $$ cm
- (C) 3$$\sqrt 3 $$ cm
- (D) 6 cm
72.
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
73.
ABC is an isosceles triangle with AB = AC, A circle through B touching AC at the middle point intersects AB at P. Then AP : AB is:
- (A) 4 : 1
- (B) 2 : 3
- (C) 3 : 5
- (D) 1 : 4
74.
In a triangle ABC, incentre is O and ÃÂÃÂÃÂâÃÂÃÂÃÂÃÂÃÂàBOC = 110ÃÂÃÂÃÂÃÂÃÂÃÂÃÂð, then the measure of ÃÂÃÂÃÂâÃÂÃÂÃÂÃÂÃÂàBAC is:
- (A) 20°
- (B) 40°
- (C) 55°
- (D) 110°
75.
In ÃÂÃÂÃÂÃÂÃÂÃÂABC, the external bisectors of the angles ÃÂÃÂÃÂâÃÂÃÂÃÂÃÂÃÂàB and ÃÂÃÂÃÂâÃÂÃÂÃÂÃÂÃÂàC meet at the point O. If ÃÂÃÂÃÂâÃÂÃÂÃÂÃÂÃÂàA = 70ÃÂÃÂÃÂÃÂÃÂÃÂÃÂð, then the measure of ÃÂÃÂÃÂâÃÂÃÂÃÂÃÂÃÂàBOC is :
- (A) 75°
- (B) 50°
- (C) 55°
- (D) 60°
76.
In an equilateral triangle ABC, G is the centroid. Each side of the triangle is 6 cm. The length of AG is:
- (A) $$2\sqrt 2 $$ cm
- (B) $$3\sqrt 2 $$ cm
- (C) $$2\sqrt 3 $$ cm
- (D) $$3\sqrt 3 $$ cm
77.
D is any point on side AC of ÃÂÃÂÃÂÃÂÃÂÃÂABC. If P, Q, X, Y are the mid-point of AB, BC, AD and DC respectively, then the ratio of PX and QY is
- (A) 1 : 2
- (B) 1 : 1
- (C) 2 : 1
- (D) 2 : 3
78.
The angles of a triangle are in the ratio 2 : 3 : 7. The measure of the smallest angle is :
- (A) 30°
- (B) 60°
- (C) 45°
- (D) 90°
79.
In ÃÂÃÂÃÂÃÂÃÂÃÂABC, if AD ÃÂÃÂÃÂâÃÂÃÂÃÂÃÂÃÂÃÂ¥ BC, then AB + CD is equal to22
- (A) 2BD2
- (B) BD2 + AC2
- (C) 2AC2
- (D) None of these
80.
The side QR of an equilateral triangle PQR is produced to the point S in such a way that QR = RS and P is joined to S. Then the measure of ÃÂÃÂÃÂâÃÂÃÂÃÂÃÂÃÂàPSR is
- (A) 30°
- (B) 15°
- (C) 60°
- (D) 45°