Question

Construct a triangle ABC in which BC = 7cm, LB-75° and AB +AC - 13 cm.
Construct a triangle ABC in which BC = 8cm, B = 45° and AB - AC -3.5 cm.
Construct a triangle PQR in which QR-6cm, ZQ = 60° and PR - PQ-2cm.
Construct a triangle XYZ in which ZY=30°, ZZ = 90° and XY + YZ+ZX 11 cm
Construct a right triangle whose base is 12cm and sum of its hypotenuse and other
side is 18 cm
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Answer 1

Answer:

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.