Construct a triangle with length of base 5cm and angles of base 60 degree and 30 degree Then construct - Maths - Constructions

Question

Construct a triangle with length of base 5cm and angles of base 60
degree and 30 degree Then construct a triangle whose sides are in
the ratio of 7/3 to this triangle

Sapna Kaushik · Accepted Answer

Dear Student

Solution:∠B=60° and ∠C=30°Sum of all interior angles in a triangle is =180°∠A+∠B+∠C=180Putting value of ∠B and ∠C,∠A+60+30=180∠A+90=180∠A=180-90 ⇒∠A=90°Step 1: Draw a line segment BC=5cmStep 2: Draw an angle of 60° at point B and 30° at point C, Intersect at point A at 90°Step 3: Draw ray BX making an acute angle with BC on opposite side of vertex AStep 4: Locate 7 points on BXStep 5: Join B3C, Draw a line through B7 parallel to B3C intersecting extended BC at C'Step 6: Through C', draw a line parallel to AC intersecting extended line segment at A'△A'BC' is the required triangle

<img alt="" src=
"https://s3mn%20mnimgs%20com/img/shared/content_ck_images/ck_59e1f46f867bb%20jpg"
style="height: 150px; width: 178px;">
NOTE: Angle drawn with the help of D

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Construct a triangle with length of base 5cm and angles of base 60 degree and 30 degree. Then construct a triangle whose sides are in the ratio of 7/3 to this triangle