The midpoints of AB and AC of triangle ABC are X and Y respectively. If BC + XY = 12 units, then BC - XY is
10 units
8 units
6 units
6 units
In an isosceles AD is the median to the unequal side meeting BC at D. DP is the angle bisector of
and PQ is drawn parallel to BC meeting AC at Q. Then the measure of
is
B.
If in △ ABC, DE ∥ BC, AB = 7.5 cm, BD = 6 cm and DE = 2 cm then the length of BC in cm is
6
8
10
10
Suppose that the medians BD, CE and AF of a triangle ABC meet at G. Then AG : GF is
1: 2
2 : 1
1 : 3
1 : 3
In ΔABC, AC = BC and ∠ABC = 50°, the side BC is produced to D so that BC = CD then the value of ∠BAD is
80°
40°
90°
90°
ΔABC is isosceles having AB = AC and ∠A = 40°. Bisectors PO and OQ of the exterior angles ∠ABD and ∠ACE formed by producing BC on both sides, meet at O. Then the value of ∠BOC is
70°
110°
80°
80°
ΔABC is a triangle, PQ is line segment intersecting AB in P and AC in Q and PQ || BC. The ratio of AP : BP = 3 : 5 and length of PQ is 18 cm. The length of BC is
28 cm
48 cm
84 cm
84 cm
If the sides of a triangle are in the ratio then the triangle is
Right triangle
Obtuse triangle
Equiangular triangle
Equiangular triangle
In a right angled triangle ΔPQR, PR is the hypotenuse of length 20 cm, the area of the triangle is
ABC is a triangle in which DE || BC and AD : DB = 5 : 4. Then DE : BC is
4 : 5
4 : 9
9 : 5
9 : 5