Government of India is working regularly for the growth of handicapped persons.
For this STD booth situated at A, B and C as shown in the figure, which are
operated by handicapped person. These three booths are equidistant from each
other as shown in the figure.
1)Which type of triangle is ABC
(a) equilateral triangle
(b) isosceles triangle
(c) right angled triangle
(d) scalene triangle
2)measures of angel ABC
(a) 45°
(b) 60°
(c) 30°
(d) 90°
3)if AB=6cm then the value of BC+CA is
(a) 10
(b) 12
(c) 14
(d) 16
4)measure of angle OBC
(a) 60°
(b) 30°
(c) 45°
(d) 90°
5)value of angel OBC + angle OBC is
(a) 60°
(b) 30°
(c) 45°
(d) 90°
please answer fast
Answers
Answer:
a) Equilateral triangle
Reason: it is given in the question all three boots are equidistant from each other.
b) 60 degree
Reason: sum of interior angles of a triangle is 180 degree and this is a equilateral triangle so one side will be 180/3 which is 60 degree.
c) 12cm
Reason: all the sides of the given triangle are equal so if AB is 6cm then BC and CA are also 6cm. so when we add BC and CA (6cm+6cm) is 12cm.
d) 120 degree
Reason: both angle B and angle C is 30 degree.
sum of the total angles in triangle is 180 degree.
BOC = 180 - (B+C)
BOC = 180 - (30+30)
BOC = 180 - 60
BOC = 120
e) 60 degree
Reason: as we said in question d, angle B and angle C is both 30 degree,
= OBC + OCB
= 30 + 30
= 60 degree
Answer:
(a) equilateral triangle
(b) 60°
(b) 12
(b) 30°
(a) 60°
Step-by-step explanation:
1) Given that A, B, C are equidistant from each other therefore the triangle ABC is equilateral triangle
(a) equilateral triangle
2) The every angle in the equilateral triangle is 60°
(b) 60°
3) Since AB = 6 cm, BC + CA = 6 + 6 = 12 cm
(b) 12
4) ABC = ABO + OBC
60° = 30° + OBC
OBC = 30°
(b) 30°
5) OBC + OBC = 30° + 30° = 60°
(a) 60°