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Worksheetsproperties of triangles by Harvest uma
Total questions: 12
Worksheet time: 12mins
In a ΔABC , 1+COS(A−C)COS B1+COS (A−B)COSC=
a2+c2a2+b2
a2−b2a2+c2
a2+b2a2−c2
a3+b3
In a Δ ABC , SIin(B+C)Sin(B−C)=
b2−c2a2
c2b2−a2
a2b2−c2
none
In a Δ ABC such that∠A=450 and∠B=750 then find a+c2 =
2b
2a
2c
2abc
If in a Δ ABC, a2+b2a2−b2=Sin(A+B)Sin(A−B)then name of the triangle
Right angled triangle
Isosceles triangle
Equiateral triangle
Right angled or Isosceles triangle
In a ΔABC ,if a2,b2,c2 are in A.P then CotA,CotB,CotC are in −−−− progression
A.P
G.P
H.P
A.G.P
If Cot 2A=ab+c then ΔABC is −−−−−−−
Isosceles triangle
Right angled triangle
Equiletral triangle
none
In a ΔABC, prove that aSin(2A+B)=
(b+c)Sin(2A)
(a+b)Sin(2A)
(b+c)Sin(2B)
(b+c)Cos(2A)
In Δ ABC SinB+SinCa2Sin(B−C)+SinC+SinAb2Sin(C−A)+SinA+SinBc2Sin(A−B)=
1
2
3
0
in a Δ ABC,∠B=3Πand∠C=4Π.Let D divides BC internally in the ratio 1:3 then Sin∠CADSin∠BAD=
61
31
31
32
In aΔABC,a:b:c=4:5:6.The ratio of the radius of circum circle to that of incircle is −−−−−
716
815
710
516
In a ΔABC, if CosA CosB+SinASinB SinC=1 then a:b:c
1:1:2
1:2:3
1:3:2
1:2:2
In a ΔABC ,if CosA+2 CosB+CosC=2 then sides of triangle are in−−− progresion
A.P
G.P
H.P
A.G.P
