Construct Triangle ABC Such That Angle B = 60 Degree , Angle C = 75 Degree And AB + BC + CA = 13 cm
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Answers
Answer:
HEY MATE HERE IS YOUR ANSWER.
Step-by-step explanation:
ABC=180
B=60°
C=75°
AND
AB+BC+CA=13cm
then:
A=45°
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Construction of a triangle ABC with the given data ∠B = 60° , ∠C = 75° and AB + BC + CA = 13 cm is drawn in the given attachment below.
Given :
In triangle ABC ∠B = 60° , ∠C = 75° and AB + BC + CA = 13 cm.
To Construct:
Construct Triangle ABC with the given data.
Solution :
Construction is in the given attachment below.
Steps of construction:
(1) Draw a line segment XY = AB + AC + BC = 13 cm.
(2) From point X, draw an angle equal to the value of ∠B = 60°, i.e., ∠PXY = 60°.
(3) From point Y, draw an angle equal to the value of ∠C = 75°, i.e., ∠QYX = 75°.
(4) Now draw the angle bisector of ∠PXY and ∠QYX, which will intersect at point A.
(5) Now draw the perpendicular bisector of AX and AY, intersecting at points B and C in line XY.
(6) Join AB and AC.
Hence, ABC is the required triangle.
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