Question

Long answer
Construct a triangle ABC such that angleB = 60°,angleC = 45° and AB + BC + CA = 13cm.​

Answer 1

Step-by-step explanation:

Answer

∵ 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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Answer 2

Answer is in the image

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