PROPERTIES OF TRIANGLES
- In any ABC, the sides are 6cm, 10cm
and 14cm. Then the triangle is obtuse
angled with the obtuse angle equal to
(a) 150 (b) 135 (c) 120 (d) 105 - The sides a, b, c of a ABC are in
arithmetic progression and ‘a’ is the
smallest side. What is cos A equal to?
(a)^ (b)^ (c)^ (d)^
- In a ABC, if c= 2, A= 120, a= √ ,
then what is C equal to
(a) 30 (b) 45 (c) 60 (d) 75 - If A, B and C are in AP and b:c=
√ √ , then what is the value of sin C?
(a) 1 (b) √^ (c) √ (d) √^
- ABC is a triangle in which BC= 10cm,
CA= 6cm and AB= 8cm. Which one of
the following is correct?
(a) ABC is an acute angled triangle (b)
ABC is an obtuse angled triangle (c)
ABC is a right angled triangle (d) None
of the above - In a ABC, BC= √ , AC= 5, and AB=
- What is the measure of the angle A?
(a)^ (b)^ (c)^ (d)^ - In a ABC, a+b= 3(1+√ )cm and a-b=
3(1-√ )cm. If angle A is 30, then what
is the angle B?
(a) 120 (b) 90 (c) 75 (d) 60
- In a ABC, b= √ cm, c= 1cm, A=
30 , what is the value of a?
(a) √ cm (b) 2cm (c) 1cm (d)^ cm
- Consider a circle of radius R. What is
the length of a chord which subtends
an angle Ѳ at the centre?
(a) 2 R sin.^ / (b) 2 R sin Ѳ (c) 2 P tan
.^ / (d) 2 R tan Ѳ - If the median of the triangle ABC
through A is perpendicular to BC, then
which one of the following is correct?
(a) tan A + tan B= 0 (b)tan B – tan C= 0
(c) tan C + 2 tan A= 0 (d) tan B + tan C=
0 - In triangle ABC, a= 2b and
| | , then find the value of C. - In a triangle ABC, a=5, b=7, and sin
A=^ , then the number of possible
triangles is:
(a) 1 (b) 0 (c) 2 (d) infinite - If in a triangle ABC, (s-a)(s-b)= s(s-
c), then angle C is equal to:
(a) 90 (b) 45 (c) 30 (d) 60 - In a triangle ABC, if 2s= a+b+c and
(s-b) (s-c)= x , then the value of x
is:
(a) bc (b) ca (c) ab (d) abc - If the angles of a triangle ABC be in
AP then:
(a) - ab (b) - ac
(c) - ac (d)