Question

construct a triangle abc in which a 45o b 12o and a+b+c = 10.4 cm
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Answer 1

Step-by-step explanation:

Our question is: Construct a triangle abc if its perimeter is 10.4 cm and two angles are 45 degree and 120 degree.

Let ∠B = 45° and let ∠C = 120° .

Now, in order to represent the triangle ΔABC we need to follow the next steps.

Draw a line segment say XY and equal to perimeter i.e., AB+ BC + CA = 10.4 cm.

Draw ∠LXY = ∠B = 45° and ∠MYX = ∠C = 120°.

Make the bisector ∠LXY and ∠MYX and let them meet at a know point A.

Draw perpendicular bisectors PQ and RS of AX and AY, respectively.

Let PQ intersect XY at B and RS intersect XY at C. Join AB and AC.

Hence, we get the triangle which was asked for.

Hope this helped you!!