Construct triangle ABC in which angle B=45 , angle C=60 and AB+BC+CA=13 CM measure the length of side ab bc and achi.
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A triangle ABC can be constructed in which∠B=60
o
, ∠C=45
o
and AB +BC + AC = 11 cm. Is this Statement true?
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Correct option is
A
True
∵ Sum of angles of a triangle=180
∘
⟹∠BAC=180−(60+45)=75
∘
Now, to check the statement.
i)Draw a line segment XY=11cm.
ii)Make an angle equal to ∠B=60 from point X and mark L on this line.
iii)Make an angle equal to ∠C=45
∘
from point Y and mark M on this line.
iv)Bisect ∠LXYand∠MYX,let the bisectors meet at point A.
v)Make perpendicular bisector of AX,let it intersect XY at B.
vi)Make perpendicular bisector of AY,let it intersect XY at point C.
vii)Join AB & AC ,Then measure AB+BC+AC.
If that is equal to 11cm.
The statement is true and ABC is the required triangle.
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