Question

A triangle ABC can be constructed in which AB -5cm ,angle A - 45 degree and BC +AC-5 cm
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Answer 1

Step-by-step explanation:

Sum of angles of a triangle=180

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⟹∠BAC=180−(60+45)=75

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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

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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.

solution